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GCF of 5/95, 70/98, 39/968, 433/490

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 5/95, 70/98, 39/968, 433/490 i.e 1/4506040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5/95, 70/98, 39/968, 433/490.

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 5/95,70/98,39/968,433/490?

Given fractions are 5/95,70/98,39/968,433/490

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 5/95,70/98,39/968,433/490, numerators are 5,70,39,433

Denominators are 95,98,968,490

The GCF of 5,70,39,433 is 1 .

LCM of 95,98,968,490 is 4506040.

The greatest common factor of 5/95,70/98,39/968,433/490 = [GCF of 5,70,39,433]/[LCM of 95,98,968,490]= 1/4506040

Therefore, the GCF of 5/95,70/98,39/968,433/490 is 1/4506040.

Greatest Common Factor of 5,70,39,433

To find the highest common factor of 5,70,39,433, we have to find the factors of both numbers and list the highest common factor.

The factors of 5 are 1, 5

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70

The factors of 39 are 1, 3, 13, 39

The factors of 433 are 1, 433

The HCF of 5,70,39,433 is 1.

Lets's calculate GCF of 5,70,39,433

Greatest Common Factor (GCF) of 5,70,39,433 By Common Division

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

Greatest Common Factor of 5,70,39,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,70,39,433 By Matching Biggest Common Factor Method

Now, list down the factors of 5

:

1,5

Now, list down the factors of 70

:

1,2,5,7,10,14,35,70

Now, list down the factors of 39

:

1,3,13,39

Now, list down the factors of 433

:

1,433

Greatest Common Factor

We found the factors 5,70,39,433 . The biggest common factor number is the GCF number.
So the greatest common factor 5,70,39,433 is 1.


Lets's calculate LCM of 95,98,968,490

Lowest Common Multiple of 95,98,968,490 using Common Division

2 95, 98, 968, 490
5 95, 49, 484, 245
7 19, 49, 484, 49
7 19, 7, 484, 7
19, 1, 484, 1

∴ So the LCM of the given numbers is 2 x 5 x 7 x 7 x 19 x 1 x 484 x 1 = 4506040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4506040

Therefore, the GCF of Fractions 5/95,70/98,39/968,433/490 is 1/4506040

Least Common Multiple of 95,98,968,490 with GCF Formula

Least Common Multiple of 95,98,968,490 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 95,98,968,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,98,968,490) = 1

common factors(in case of two or more numbers have common factors) = 980

GCF(95,98,968,490) x common factors =1 x 980 = 980

LCM(95,98,968,490) = ( 95 × 98 × 968 × 490 ) / 980

LCM(95,98,968,490) = 4415919200 / 980

LCM(95,98,968,490) = 4506040


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5/95, 70/98, 39/968, 433/490

1. What is the HCF of 5,70,39,433?

The HCF of 5,70,39,433 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 5/95, 70/98, 39/968, 433/490?

Answer: GCF of Numerators as per given numbers 5/95, 70/98, 39/968, 433/490 is

GCF of Numerators i.e. for 5,70,39,433 is 1

LCM of denominators i.e. for 95,98,968,490 is 4506040.

Thus, GCF of Fractions is 1/4506040.Finally, GCF of Fractions for 5/95, 70/98, 39/968, 433/490 is 1/4506040.