Greatest Common Factor of 5272/147, 9822/5060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5272/147, 9822/5060

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 5272/147,9822/5060

Given fractions are 5272/147,9822/5060

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 5272,9822

Greatest Common Factor of Numerators i.e. GCF of 5272,9822 is 2 .

LCM of Denominators means LCM of 147,5060 as per the given fractions.

LCM of 147,5060 is 743820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5272,9822

GCF of Fractions 5272/147,9822/5060 is 2/743820

2 5272, 9822
2636, 4911

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

Greatest Common Factor of 5272,9822 By Matching Biggest Common Factor Method

Greatest Common Factor of 5272,9822 By Matching Biggest Common Factor Method

Factors of 5272

List of positive integer factors of 5272 that divides 5272 without a remainder.

1,2,4,8,659,1318,2636,5272

Factors of 9822

List of positive integer factors of 9822 that divides 9822 without a remainder.

1,2,3,6,1637,3274,4911,9822

Greatest Common Factor

We found the factors 5272,9822 . The biggest common factor number is the GCF number.
So the greatest common factor 5272,9822 is 2.

Lets's calculate LCM of 147,5060

Given numbers has no common factors except 1. So, there LCM is their product i.e 743820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/743820

Therefore, the GCF of Fractions 5272/147,9822/5060 is 2/743820

Least Common Multiple of 147,5060 with GCF Formula

Least Common Multiple of 147,5060 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 147,5060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,5060) = 1

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

GCF(147,5060) x common factors =1 x 1 = 1

LCM(147,5060) = ( 147 × 5060 ) / 1

LCM(147,5060) = 743820 / 1

LCM(147,5060) = 743820


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 5272/147, 9822/5060

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 5272/147, 9822/5060?

Answer: GCF of Numerators as per given numbers 5272/147, 9822/5060 is

GCF of Numerators i.e. for 5272,9822 is 2

LCM of denominators i.e. for 147,5060 is 743820.

Thus, GCF of Fractions is 2/743820.Finally, GCF of Fractions for 5272/147, 9822/5060 is 2/743820.