Greatest Common Factor of 490/36, 7510/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 490/36, 7510/916

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 490/36,7510/916

Given fractions are 490/36,7510/916

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 490,7510

Greatest Common Factor of Numerators i.e. GCF of 490,7510 is 10 .

LCM of Denominators means LCM of 36,916 as per the given fractions.

LCM of 36,916 is 8244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 490,7510

GCF of Fractions 490/36,7510/916 is 10/8244

2 490, 7510
5 245, 3755
49, 751

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 490,7510 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,7510 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 7510

List of positive integer factors of 7510 that divides 7510 without a remainder.

1,2,5,10,751,1502,3755,7510

Greatest Common Factor

We found the factors 490,7510 . The biggest common factor number is the GCF number.
So the greatest common factor 490,7510 is 10.

Lets's calculate LCM of 36,916

2 36, 916
2 18, 458
9, 229

∴ So the LCM of the given numbers is 2 x 2 x 9 x 229 = 8244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/8244

Therefore, the GCF of Fractions 490/36,7510/916 is 10/8244

Least Common Multiple of 36,916 with GCF Formula

Least Common Multiple of 36,916 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 36,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,916) = 4

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

GCF(36,916) x common factors =4 x 1 = 4

LCM(36,916) = ( 36 × 916 ) / 4

LCM(36,916) = 32976 / 4

LCM(36,916) = 8244


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 490/36, 7510/916

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 490/36, 7510/916?

Answer: GCF of Numerators as per given numbers 490/36, 7510/916 is

GCF of Numerators i.e. for 490,7510 is 10

LCM of denominators i.e. for 36,916 is 8244.

Thus, GCF of Fractions is 10/8244.Finally, GCF of Fractions for 490/36, 7510/916 is 10/8244.