Greatest Common Factor of 672/508, 813/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 672/508, 813/169

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 672/508,813/169

Given fractions are 672/508,813/169

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 672,813

Greatest Common Factor of Numerators i.e. GCF of 672,813 is 3 .

LCM of Denominators means LCM of 508,169 as per the given fractions.

LCM of 508,169 is 85852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 672,813

GCF of Fractions 672/508,813/169 is 3/85852

3 672, 813
224, 271

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 672,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,813 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 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 672,813 . The biggest common factor number is the GCF number.
So the greatest common factor 672,813 is 3.

Lets's calculate LCM of 508,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 85852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/85852

Therefore, the GCF of Fractions 672/508,813/169 is 3/85852

Least Common Multiple of 508,169 with GCF Formula

Least Common Multiple of 508,169 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 508,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,169) = 1

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

GCF(508,169) x common factors =1 x 1 = 1

LCM(508,169) = ( 508 × 169 ) / 1

LCM(508,169) = 85852 / 1

LCM(508,169) = 85852


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 672/508, 813/169

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 672/508, 813/169?

Answer: GCF of Numerators as per given numbers 672/508, 813/169 is

GCF of Numerators i.e. for 672,813 is 3

LCM of denominators i.e. for 508,169 is 85852.

Thus, GCF of Fractions is 3/85852.Finally, GCF of Fractions for 672/508, 813/169 is 3/85852.