Greatest Common Factor of 925/21, 296/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 925/21, 296/151

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 925/21,296/151

Given fractions are 925/21,296/151

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 925,296

Greatest Common Factor of Numerators i.e. GCF of 925,296 is 37 .

LCM of Denominators means LCM of 21,151 as per the given fractions.

LCM of 21,151 is 3171 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 925,296

GCF of Fractions 925/21,296/151 is 37/3171

37 925, 296
25, 8

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 925,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,296 By Matching Biggest Common Factor Method

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 925,296 . The biggest common factor number is the GCF number.
So the greatest common factor 925,296 is 37.

Lets's calculate LCM of 21,151

Given numbers has no common factors except 1. So, there LCM is their product i.e 3171

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/3171

Therefore, the GCF of Fractions 925/21,296/151 is 37/3171

Least Common Multiple of 21,151 with GCF Formula

Least Common Multiple of 21,151 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 21,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,151) = 1

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

GCF(21,151) x common factors =1 x 1 = 1

LCM(21,151) = ( 21 × 151 ) / 1

LCM(21,151) = 3171 / 1

LCM(21,151) = 3171


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 925/21, 296/151

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 925/21, 296/151?

Answer: GCF of Numerators as per given numbers 925/21, 296/151 is

GCF of Numerators i.e. for 925,296 is 37

LCM of denominators i.e. for 21,151 is 3171.

Thus, GCF of Fractions is 37/3171.Finally, GCF of Fractions for 925/21, 296/151 is 37/3171.