Greatest Common Factor of 960/26, 1500/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 960/26, 1500/237

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 960/26,1500/237

Given fractions are 960/26,1500/237

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 960,1500

Greatest Common Factor of Numerators i.e. GCF of 960,1500 is 60 .

LCM of Denominators means LCM of 26,237 as per the given fractions.

LCM of 26,237 is 6162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 960,1500

GCF of Fractions 960/26,1500/237 is 60/6162

2 960, 1500
2 480, 750
3 240, 375
5 80, 125
16, 25

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Greatest Common Factor of 960,1500 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,1500 By Matching Biggest Common Factor Method

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

Factors of 1500

List of positive integer factors of 1500 that divides 1500 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500

Greatest Common Factor

We found the factors 960,1500 . The biggest common factor number is the GCF number.
So the greatest common factor 960,1500 is 60.

Lets's calculate LCM of 26,237

Given numbers has no common factors except 1. So, there LCM is their product i.e 6162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/6162

Therefore, the GCF of Fractions 960/26,1500/237 is 60/6162

Least Common Multiple of 26,237 with GCF Formula

Least Common Multiple of 26,237 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 26,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,237) = 1

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

GCF(26,237) x common factors =1 x 1 = 1

LCM(26,237) = ( 26 × 237 ) / 1

LCM(26,237) = 6162 / 1

LCM(26,237) = 6162


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 960/26, 1500/237

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 960/26, 1500/237?

Answer: GCF of Numerators as per given numbers 960/26, 1500/237 is

GCF of Numerators i.e. for 960,1500 is 60

LCM of denominators i.e. for 26,237 is 6162.

Thus, GCF of Fractions is 60/6162.Finally, GCF of Fractions for 960/26, 1500/237 is 60/6162.