Greatest Common Factor of 5677/171, 7574/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5677/171, 7574/976

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 5677/171,7574/976

Given fractions are 5677/171,7574/976

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 5677,7574

Greatest Common Factor of Numerators i.e. GCF of 5677,7574 is 7 .

LCM of Denominators means LCM of 171,976 as per the given fractions.

LCM of 171,976 is 166896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5677,7574

GCF of Fractions 5677/171,7574/976 is 7/166896

7 5677, 7574
811, 1082

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

Greatest Common Factor of 5677,7574 By Matching Biggest Common Factor Method

Greatest Common Factor of 5677,7574 By Matching Biggest Common Factor Method

Factors of 5677

List of positive integer factors of 5677 that divides 5677 without a remainder.

1,7,811,5677

Factors of 7574

List of positive integer factors of 7574 that divides 7574 without a remainder.

1,2,7,14,541,1082,3787,7574

Greatest Common Factor

We found the factors 5677,7574 . The biggest common factor number is the GCF number.
So the greatest common factor 5677,7574 is 7.

Lets's calculate LCM of 171,976

Given numbers has no common factors except 1. So, there LCM is their product i.e 166896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/166896

Therefore, the GCF of Fractions 5677/171,7574/976 is 7/166896

Least Common Multiple of 171,976 with GCF Formula

Least Common Multiple of 171,976 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 171,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,976) = 1

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

GCF(171,976) x common factors =1 x 1 = 1

LCM(171,976) = ( 171 × 976 ) / 1

LCM(171,976) = 166896 / 1

LCM(171,976) = 166896


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 5677/171, 7574/976

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 5677/171, 7574/976?

Answer: GCF of Numerators as per given numbers 5677/171, 7574/976 is

GCF of Numerators i.e. for 5677,7574 is 7

LCM of denominators i.e. for 171,976 is 166896.

Thus, GCF of Fractions is 7/166896.Finally, GCF of Fractions for 5677/171, 7574/976 is 7/166896.