Greatest Common Factor of 7502/945, 4660/7470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7502/945, 4660/7470

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 7502/945,4660/7470

Given fractions are 7502/945,4660/7470

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 7502,4660

Greatest Common Factor of Numerators i.e. GCF of 7502,4660 is 2 .

LCM of Denominators means LCM of 945,7470 as per the given fractions.

LCM of 945,7470 is 156870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7502,4660

GCF of Fractions 7502/945,4660/7470 is 2/156870

2 7502, 4660
3751, 2330

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7502,4660 By Matching Biggest Common Factor Method

Greatest Common Factor of 7502,4660 By Matching Biggest Common Factor Method

Factors of 7502

List of positive integer factors of 7502 that divides 7502 without a remainder.

1,2,11,22,31,62,121,242,341,682,3751,7502

Factors of 4660

List of positive integer factors of 4660 that divides 4660 without a remainder.

1,2,4,5,10,20,233,466,932,1165,2330,4660

Greatest Common Factor

We found the factors 7502,4660 . The biggest common factor number is the GCF number.
So the greatest common factor 7502,4660 is 2.

Lets's calculate LCM of 945,7470

3 945, 7470
3 315, 2490
5 105, 830
21, 166

∴ So the LCM of the given numbers is 3 x 3 x 5 x 21 x 166 = 156870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/156870

Therefore, the GCF of Fractions 7502/945,4660/7470 is 2/156870

Least Common Multiple of 945,7470 with GCF Formula

Least Common Multiple of 945,7470 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 945,7470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,7470) = 45

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

GCF(945,7470) x common factors =45 x 1 = 45

LCM(945,7470) = ( 945 × 7470 ) / 45

LCM(945,7470) = 7059150 / 45

LCM(945,7470) = 156870


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 7502/945, 4660/7470

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 7502/945, 4660/7470?

Answer: GCF of Numerators as per given numbers 7502/945, 4660/7470 is

GCF of Numerators i.e. for 7502,4660 is 2

LCM of denominators i.e. for 945,7470 is 156870.

Thus, GCF of Fractions is 2/156870.Finally, GCF of Fractions for 7502/945, 4660/7470 is 2/156870.