Greatest Common Factor of 52/257, 10/124, 998/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/257, 10/124, 998/441

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 52/257,10/124,998/441

Given fractions are 52/257,10/124,998/441

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 52,10,998

Greatest Common Factor of Numerators i.e. GCF of 52,10,998 is 2 .

LCM of Denominators means LCM of 257,124,441 as per the given fractions.

LCM of 257,124,441 is 14053788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,10,998

GCF of Fractions 52/257,10/124,998/441 is 2/14053788

2 52, 10, 998
26, 5, 499

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

Greatest Common Factor of 52,10,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,10,998 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 10

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

1,2,5,10

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 52,10,998 . The biggest common factor number is the GCF number.
So the greatest common factor 52,10,998 is 2.

Lets's calculate LCM of 257,124,441

Given numbers has no common factors except 1. So, there LCM is their product i.e 14053788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14053788

Therefore, the GCF of Fractions 52/257,10/124,998/441 is 2/14053788

Least Common Multiple of 257,124,441 with GCF Formula

Least Common Multiple of 257,124,441 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 257,124,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,124,441) = 1

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

GCF(257,124,441) x common factors =1 x 1 = 1

LCM(257,124,441) = ( 257 × 124 × 441 ) / 1

LCM(257,124,441) = 14053788 / 1

LCM(257,124,441) = 14053788


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 52/257, 10/124, 998/441

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 52/257, 10/124, 998/441?

Answer: GCF of Numerators as per given numbers 52/257, 10/124, 998/441 is

GCF of Numerators i.e. for 52,10,998 is 2

LCM of denominators i.e. for 257,124,441 is 14053788.

Thus, GCF of Fractions is 2/14053788.Finally, GCF of Fractions for 52/257, 10/124, 998/441 is 2/14053788.