Greatest Common Factor of 9510/46, 6374/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9510/46, 6374/825

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 9510/46,6374/825

Given fractions are 9510/46,6374/825

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 9510,6374

Greatest Common Factor of Numerators i.e. GCF of 9510,6374 is 2 .

LCM of Denominators means LCM of 46,825 as per the given fractions.

LCM of 46,825 is 37950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9510,6374

GCF of Fractions 9510/46,6374/825 is 2/37950

2 9510, 6374
4755, 3187

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

Greatest Common Factor of 9510,6374 By Matching Biggest Common Factor Method

Greatest Common Factor of 9510,6374 By Matching Biggest Common Factor Method

Factors of 9510

List of positive integer factors of 9510 that divides 9510 without a remainder.

1,2,3,5,6,10,15,30,317,634,951,1585,1902,3170,4755,9510

Factors of 6374

List of positive integer factors of 6374 that divides 6374 without a remainder.

1,2,3187,6374

Greatest Common Factor

We found the factors 9510,6374 . The biggest common factor number is the GCF number.
So the greatest common factor 9510,6374 is 2.

Lets's calculate LCM of 46,825

Given numbers has no common factors except 1. So, there LCM is their product i.e 37950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37950

Therefore, the GCF of Fractions 9510/46,6374/825 is 2/37950

Least Common Multiple of 46,825 with GCF Formula

Least Common Multiple of 46,825 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 46,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,825) = 1

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

GCF(46,825) x common factors =1 x 1 = 1

LCM(46,825) = ( 46 × 825 ) / 1

LCM(46,825) = 37950 / 1

LCM(46,825) = 37950


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 9510/46, 6374/825

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 9510/46, 6374/825?

Answer: GCF of Numerators as per given numbers 9510/46, 6374/825 is

GCF of Numerators i.e. for 9510,6374 is 2

LCM of denominators i.e. for 46,825 is 37950.

Thus, GCF of Fractions is 2/37950.Finally, GCF of Fractions for 9510/46, 6374/825 is 2/37950.