Greatest Common Factor of 272/977, 3774/8924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 272/977, 3774/8924

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 272/977,3774/8924

Given fractions are 272/977,3774/8924

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 272,3774

Greatest Common Factor of Numerators i.e. GCF of 272,3774 is 34 .

LCM of Denominators means LCM of 977,8924 as per the given fractions.

LCM of 977,8924 is 8718748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,3774

GCF of Fractions 272/977,3774/8924 is 34/8718748

2 272, 3774
17 136, 1887
8, 111

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 272,3774 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,3774 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 3774

List of positive integer factors of 3774 that divides 3774 without a remainder.

1,2,3,6,17,34,37,51,74,102,111,222,629,1258,1887,3774

Greatest Common Factor

We found the factors 272,3774 . The biggest common factor number is the GCF number.
So the greatest common factor 272,3774 is 34.

Lets's calculate LCM of 977,8924

Given numbers has no common factors except 1. So, there LCM is their product i.e 8718748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/8718748

Therefore, the GCF of Fractions 272/977,3774/8924 is 34/8718748

Least Common Multiple of 977,8924 with GCF Formula

Least Common Multiple of 977,8924 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 977,8924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,8924) = 1

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

GCF(977,8924) x common factors =1 x 1 = 1

LCM(977,8924) = ( 977 × 8924 ) / 1

LCM(977,8924) = 8718748 / 1

LCM(977,8924) = 8718748


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 272/977, 3774/8924

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 272/977, 3774/8924?

Answer: GCF of Numerators as per given numbers 272/977, 3774/8924 is

GCF of Numerators i.e. for 272,3774 is 34

LCM of denominators i.e. for 977,8924 is 8718748.

Thus, GCF of Fractions is 34/8718748.Finally, GCF of Fractions for 272/977, 3774/8924 is 34/8718748.