Greatest Common Factor of 672/488, 6902/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 672/488, 6902/172

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 672/488,6902/172

Given fractions are 672/488,6902/172

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 672,6902

Greatest Common Factor of Numerators i.e. GCF of 672,6902 is 14 .

LCM of Denominators means LCM of 488,172 as per the given fractions.

LCM of 488,172 is 20984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 672,6902

GCF of Fractions 672/488,6902/172 is 14/20984

2 672, 6902
7 336, 3451
48, 493

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 672,6902 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,6902 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 6902

List of positive integer factors of 6902 that divides 6902 without a remainder.

1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902

Greatest Common Factor

We found the factors 672,6902 . The biggest common factor number is the GCF number.
So the greatest common factor 672,6902 is 14.

Lets's calculate LCM of 488,172

2 488, 172
2 244, 86
122, 43

∴ So the LCM of the given numbers is 2 x 2 x 122 x 43 = 20984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/20984

Therefore, the GCF of Fractions 672/488,6902/172 is 14/20984

Least Common Multiple of 488,172 with GCF Formula

Least Common Multiple of 488,172 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 488,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,172) = 4

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

GCF(488,172) x common factors =4 x 1 = 4

LCM(488,172) = ( 488 × 172 ) / 4

LCM(488,172) = 83936 / 4

LCM(488,172) = 20984


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 672/488, 6902/172

1. 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.

2. What is the GCF of Fractions for 672/488, 6902/172?

Answer: GCF of Numerators as per given numbers 672/488, 6902/172 is

GCF of Numerators i.e. for 672,6902 is 14

LCM of denominators i.e. for 488,172 is 20984.

Thus, GCF of Fractions is 14/20984.Finally, GCF of Fractions for 672/488, 6902/172 is 14/20984.