Greatest Common Factor of 7696/55, 2543/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7696/55, 2543/674

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 7696/55,2543/674

Given fractions are 7696/55,2543/674

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 7696,2543

Greatest Common Factor of Numerators i.e. GCF of 7696,2543 is 1 .

LCM of Denominators means LCM of 55,674 as per the given fractions.

LCM of 55,674 is 37070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7696,2543

GCF of Fractions 7696/55,2543/674 is 1/37070

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

Greatest Common Factor of 7696,2543 By Matching Biggest Common Factor Method

Greatest Common Factor of 7696,2543 By Matching Biggest Common Factor Method

Factors of 7696

List of positive integer factors of 7696 that divides 7696 without a remainder.

1,2,4,8,13,16,26,37,52,74,104,148,208,296,481,592,962,1924,3848,7696

Factors of 2543

List of positive integer factors of 2543 that divides 2543 without a remainder.

1,2543

Greatest Common Factor

We found the factors 7696,2543 . The biggest common factor number is the GCF number.
So the greatest common factor 7696,2543 is 1.

Lets's calculate LCM of 55,674

Given numbers has no common factors except 1. So, there LCM is their product i.e 37070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37070

Therefore, the GCF of Fractions 7696/55,2543/674 is 1/37070

Least Common Multiple of 55,674 with GCF Formula

Least Common Multiple of 55,674 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 55,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,674) = 1

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

GCF(55,674) x common factors =1 x 1 = 1

LCM(55,674) = ( 55 × 674 ) / 1

LCM(55,674) = 37070 / 1

LCM(55,674) = 37070


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 7696/55, 2543/674

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 7696/55, 2543/674?

Answer: GCF of Numerators as per given numbers 7696/55, 2543/674 is

GCF of Numerators i.e. for 7696,2543 is 1

LCM of denominators i.e. for 55,674 is 37070.

Thus, GCF of Fractions is 1/37070.Finally, GCF of Fractions for 7696/55, 2543/674 is 1/37070.