LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 6/78, 35/95, 13/988, 613/580

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 6/78, 35/95, 13/988, 613/580 i.e 1/429780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/78, 35/95, 13/988, 613/580.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6/78,35/95,13/988,613/580?

Given fractions are 6/78,35/95,13/988,613/580

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6/78,35/95,13/988,613/580, numerators are 6,35,13,613

Denominators are 78,95,988,580

The GCF of 6,35,13,613 is 1 .

LCM of 78,95,988,580 is 429780.

The greatest common factor of 6/78,35/95,13/988,613/580 = [GCF of 6,35,13,613]/[LCM of 78,95,988,580]= 1/429780

Therefore, the GCF of 6/78,35/95,13/988,613/580 is 1/429780.

Greatest Common Factor of 6,35,13,613

To find the highest common factor of 6,35,13,613, we have to find the factors of both numbers and list the highest common factor.

The factors of 6 are 1, 2, 3, 6

The factors of 35 are 1, 5, 7, 35

The factors of 13 are 1, 13

The factors of 613 are 1, 613

The HCF of 6,35,13,613 is 1.

Lets's calculate GCF of 6,35,13,613

Greatest Common Factor (GCF) of 6,35,13,613 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6,35,13,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,35,13,613 By Matching Biggest Common Factor Method

Now, list down the factors of 6

:

1,2,3,6

Now, list down the factors of 35

:

1,5,7,35

Now, list down the factors of 13

:

1,13

Now, list down the factors of 613

:

1,613

Greatest Common Factor

We found the factors 6,35,13,613 . The biggest common factor number is the GCF number.
So the greatest common factor 6,35,13,613 is 1.


Lets's calculate LCM of 78,95,988,580

Lowest Common Multiple of 78,95,988,580 using Common Division

2 78, 95, 988, 580
2 39, 95, 494, 290
5 39, 95, 247, 145
13 39, 19, 247, 29
19 3, 19, 19, 29
3, 1, 1, 29

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 19 x 3 x 1 x 1 x 29 = 429780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429780

Therefore, the GCF of Fractions 6/78,35/95,13/988,613/580 is 1/429780

Least Common Multiple of 78,95,988,580 with GCF Formula

Least Common Multiple of 78,95,988,580 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 78,95,988,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,95,988,580) = 1

common factors(in case of two or more numbers have common factors) = 9880

GCF(78,95,988,580) x common factors =1 x 9880 = 9880

LCM(78,95,988,580) = ( 78 × 95 × 988 × 580 ) / 9880

LCM(78,95,988,580) = 4246226400 / 9880

LCM(78,95,988,580) = 429780


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6/78, 35/95, 13/988, 613/580

1. What is the HCF of 6,35,13,613?

The HCF of 6,35,13,613 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 6/78, 35/95, 13/988, 613/580?

Answer: GCF of Numerators as per given numbers 6/78, 35/95, 13/988, 613/580 is

GCF of Numerators i.e. for 6,35,13,613 is 1

LCM of denominators i.e. for 78,95,988,580 is 429780.

Thus, GCF of Fractions is 1/429780.Finally, GCF of Fractions for 6/78, 35/95, 13/988, 613/580 is 1/429780.