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 518/404, 679/108

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 518/404, 679/108 i.e 7/10908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/404, 679/108.

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 518/404,679/108?

Given fractions are 518/404,679/108

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 518/404,679/108, numerators are 518,679

Denominators are 404,108

The GCF of 518,679 is 7 .

LCM of 404,108 is 10908.

The greatest common factor of 518/404,679/108 = [GCF of 518,679]/[LCM of 404,108]= 7/10908

Therefore, the GCF of 518/404,679/108 is 7/10908.

Greatest Common Factor of 518,679

To find the highest common factor of 518,679, we have to find the factors of both numbers and list the highest common factor.

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The factors of 679 are 1, 7, 97, 679

The HCF of 518,679 is 7.

Lets's calculate GCF of 518,679

Greatest Common Factor (GCF) of 518,679 By Common Division

7 518, 679
74, 97

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 518,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,679 By Matching Biggest Common Factor Method

Now, list down the factors of 518

:

1,2,7,14,37,74,259,518

Now, list down the factors of 679

:

1,7,97,679

Greatest Common Factor

We found the factors 518,679 . The biggest common factor number is the GCF number.
So the greatest common factor 518,679 is 7.

Lets's calculate LCM of 404,108

Lowest Common Multiple of 404,108 using Common Division

2 404, 108
2 202, 54
101, 27

∴ So the LCM of the given numbers is 2 x 2 x 101 x 27 = 10908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/10908

Therefore, the GCF of Fractions 518/404,679/108 is 7/10908

Least Common Multiple of 404,108 with GCF Formula

Least Common Multiple of 404,108 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 404,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,108) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(404,108) x common factors =4 x 1 = 4

LCM(404,108) = ( 404 × 108 ) / 4

LCM(404,108) = 43632 / 4

LCM(404,108) = 10908


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 518/404, 679/108

1. What is the HCF of 518,679?

The HCF of 518,679 is 7

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 518/404, 679/108?

Answer: GCF of Numerators as per given numbers 518/404, 679/108 is

GCF of Numerators i.e. for 518,679 is 7

LCM of denominators i.e. for 404,108 is 10908.

Thus, GCF of Fractions is 7/10908.Finally, GCF of Fractions for 518/404, 679/108 is 7/10908.