Greatest Common Factor of 1317/169, 7951/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1317/169, 7951/704

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 1317/169,7951/704

Given fractions are 1317/169,7951/704

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 1317,7951

Greatest Common Factor of Numerators i.e. GCF of 1317,7951 is 1 .

LCM of Denominators means LCM of 169,704 as per the given fractions.

LCM of 169,704 is 118976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1317,7951

GCF of Fractions 1317/169,7951/704 is 1/118976

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

Greatest Common Factor of 1317,7951 By Matching Biggest Common Factor Method

Greatest Common Factor of 1317,7951 By Matching Biggest Common Factor Method

Factors of 1317

List of positive integer factors of 1317 that divides 1317 without a remainder.

1,3,439,1317

Factors of 7951

List of positive integer factors of 7951 that divides 7951 without a remainder.

1,7951

Greatest Common Factor

We found the factors 1317,7951 . The biggest common factor number is the GCF number.
So the greatest common factor 1317,7951 is 1.

Lets's calculate LCM of 169,704

Given numbers has no common factors except 1. So, there LCM is their product i.e 118976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118976

Therefore, the GCF of Fractions 1317/169,7951/704 is 1/118976

Least Common Multiple of 169,704 with GCF Formula

Least Common Multiple of 169,704 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 169,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,704) = 1

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

GCF(169,704) x common factors =1 x 1 = 1

LCM(169,704) = ( 169 × 704 ) / 1

LCM(169,704) = 118976 / 1

LCM(169,704) = 118976


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 1317/169, 7951/704

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 1317/169, 7951/704?

Answer: GCF of Numerators as per given numbers 1317/169, 7951/704 is

GCF of Numerators i.e. for 1317,7951 is 1

LCM of denominators i.e. for 169,704 is 118976.

Thus, GCF of Fractions is 1/118976.Finally, GCF of Fractions for 1317/169, 7951/704 is 1/118976.