Greatest Common Factor of 9474/51, 2010/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9474/51, 2010/755

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 9474/51,2010/755

Given fractions are 9474/51,2010/755

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 9474,2010

Greatest Common Factor of Numerators i.e. GCF of 9474,2010 is 6 .

LCM of Denominators means LCM of 51,755 as per the given fractions.

LCM of 51,755 is 38505 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9474,2010

GCF of Fractions 9474/51,2010/755 is 6/38505

2 9474, 2010
3 4737, 1005
1579, 335

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9474,2010 By Matching Biggest Common Factor Method

Greatest Common Factor of 9474,2010 By Matching Biggest Common Factor Method

Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1,2,3,6,1579,3158,4737,9474

Factors of 2010

List of positive integer factors of 2010 that divides 2010 without a remainder.

1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010

Greatest Common Factor

We found the factors 9474,2010 . The biggest common factor number is the GCF number.
So the greatest common factor 9474,2010 is 6.

Lets's calculate LCM of 51,755

Given numbers has no common factors except 1. So, there LCM is their product i.e 38505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/38505

Therefore, the GCF of Fractions 9474/51,2010/755 is 6/38505

Least Common Multiple of 51,755 with GCF Formula

Least Common Multiple of 51,755 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 51,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,755) = 1

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

GCF(51,755) x common factors =1 x 1 = 1

LCM(51,755) = ( 51 × 755 ) / 1

LCM(51,755) = 38505 / 1

LCM(51,755) = 38505


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 9474/51, 2010/755

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 9474/51, 2010/755?

Answer: GCF of Numerators as per given numbers 9474/51, 2010/755 is

GCF of Numerators i.e. for 9474,2010 is 6

LCM of denominators i.e. for 51,755 is 38505.

Thus, GCF of Fractions is 6/38505.Finally, GCF of Fractions for 9474/51, 2010/755 is 6/38505.