Greatest Common Factor of 237/9213, 960/7028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 237/9213, 960/7028

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 237/9213,960/7028

Given fractions are 237/9213,960/7028

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 237,960

Greatest Common Factor of Numerators i.e. GCF of 237,960 is 3 .

LCM of Denominators means LCM of 9213,7028 as per the given fractions.

LCM of 9213,7028 is 64748964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 237,960

GCF of Fractions 237/9213,960/7028 is 3/64748964

3 237, 960
79, 320

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 237,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,960 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 237,960 . The biggest common factor number is the GCF number.
So the greatest common factor 237,960 is 3.

Lets's calculate LCM of 9213,7028

Given numbers has no common factors except 1. So, there LCM is their product i.e 64748964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/64748964

Therefore, the GCF of Fractions 237/9213,960/7028 is 3/64748964

Least Common Multiple of 9213,7028 with GCF Formula

Least Common Multiple of 9213,7028 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 9213,7028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9213,7028) = 1

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

GCF(9213,7028) x common factors =1 x 1 = 1

LCM(9213,7028) = ( 9213 × 7028 ) / 1

LCM(9213,7028) = 64748964 / 1

LCM(9213,7028) = 64748964


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 237/9213, 960/7028

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 237/9213, 960/7028?

Answer: GCF of Numerators as per given numbers 237/9213, 960/7028 is

GCF of Numerators i.e. for 237,960 is 3

LCM of denominators i.e. for 9213,7028 is 64748964.

Thus, GCF of Fractions is 3/64748964.Finally, GCF of Fractions for 237/9213, 960/7028 is 3/64748964.