Greatest Common Factor of 10/261, 490/741, 636/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/261, 490/741, 636/296

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 10/261,490/741,636/296

Given fractions are 10/261,490/741,636/296

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 10,490,636

Greatest Common Factor of Numerators i.e. GCF of 10,490,636 is 2 .

LCM of Denominators means LCM of 261,741,296 as per the given fractions.

LCM of 261,741,296 is 19082232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,490,636

GCF of Fractions 10/261,490/741,636/296 is 2/19082232

2 10, 490, 636
5, 245, 318

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

Greatest Common Factor of 10,490,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,490,636 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

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 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 10,490,636 . The biggest common factor number is the GCF number.
So the greatest common factor 10,490,636 is 2.

Lets's calculate LCM of 261,741,296

3 261, 741, 296
87, 247, 296

∴ So the LCM of the given numbers is 3 x 87 x 247 x 296 = 19082232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19082232

Therefore, the GCF of Fractions 10/261,490/741,636/296 is 2/19082232

Least Common Multiple of 261,741,296 with GCF Formula

Least Common Multiple of 261,741,296 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 261,741,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,741,296) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(261,741,296) x common factors =1 x 3 = 3

LCM(261,741,296) = ( 261 × 741 × 296 ) / 3

LCM(261,741,296) = 57246696 / 3

LCM(261,741,296) = 19082232


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 10/261, 490/741, 636/296

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 10/261, 490/741, 636/296?

Answer: GCF of Numerators as per given numbers 10/261, 490/741, 636/296 is

GCF of Numerators i.e. for 10,490,636 is 2

LCM of denominators i.e. for 261,741,296 is 19082232.

Thus, GCF of Fractions is 2/19082232.Finally, GCF of Fractions for 10/261, 490/741, 636/296 is 2/19082232.