Greatest Common Factor of 3/52, 21/37, 82/992, 202/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/52, 21/37, 82/992, 202/943

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 3/52,21/37,82/992,202/943

Given fractions are 3/52,21/37,82/992,202/943

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 3,21,82,202

Greatest Common Factor of Numerators i.e. GCF of 3,21,82,202 is 1 .

LCM of Denominators means LCM of 52,37,992,943 as per the given fractions.

LCM of 52,37,992,943 is 449954336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,21,82,202

GCF of Fractions 3/52,21/37,82/992,202/943 is 1/449954336

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3,21,82,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,21,82,202 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 3,21,82,202 . The biggest common factor number is the GCF number.
So the greatest common factor 3,21,82,202 is 1.

Lets's calculate LCM of 52,37,992,943

2 52, 37, 992, 943
2 26, 37, 496, 943
13, 37, 248, 943

∴ So the LCM of the given numbers is 2 x 2 x 13 x 37 x 248 x 943 = 449954336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/449954336

Therefore, the GCF of Fractions 3/52,21/37,82/992,202/943 is 1/449954336

Least Common Multiple of 52,37,992,943 with GCF Formula

Least Common Multiple of 52,37,992,943 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 52,37,992,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,37,992,943) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,37,992,943) x common factors =1 x 4 = 4

LCM(52,37,992,943) = ( 52 × 37 × 992 × 943 ) / 4

LCM(52,37,992,943) = 1799817344 / 4

LCM(52,37,992,943) = 449954336


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 3/52, 21/37, 82/992, 202/943

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 3/52, 21/37, 82/992, 202/943?

Answer: GCF of Numerators as per given numbers 3/52, 21/37, 82/992, 202/943 is

GCF of Numerators i.e. for 3,21,82,202 is 1

LCM of denominators i.e. for 52,37,992,943 is 449954336.

Thus, GCF of Fractions is 1/449954336.Finally, GCF of Fractions for 3/52, 21/37, 82/992, 202/943 is 1/449954336.