Greatest Common Factor of 3/52, 20/47, 61/503, 442/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/52, 20/47, 61/503, 442/815

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 3/52,20/47,61/503,442/815

Given fractions are 3/52,20/47,61/503,442/815

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 3,20,61,442

Greatest Common Factor of Numerators i.e. GCF of 3,20,61,442 is 1 .

LCM of Denominators means LCM of 52,47,503,815 as per the given fractions.

LCM of 52,47,503,815 is 1001905580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,20,61,442

GCF of Fractions 3/52,20/47,61/503,442/815 is 1/1001905580

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

Greatest Common Factor of 3,20,61,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,20,61,442 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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 3,20,61,442 . The biggest common factor number is the GCF number.
So the greatest common factor 3,20,61,442 is 1.

Lets's calculate LCM of 52,47,503,815

Given numbers has no common factors except 1. So, there LCM is their product i.e 1001905580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1001905580

Therefore, the GCF of Fractions 3/52,20/47,61/503,442/815 is 1/1001905580

Least Common Multiple of 52,47,503,815 with GCF Formula

Least Common Multiple of 52,47,503,815 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 52,47,503,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,47,503,815) = 1

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

GCF(52,47,503,815) x common factors =1 x 1 = 1

LCM(52,47,503,815) = ( 52 × 47 × 503 × 815 ) / 1

LCM(52,47,503,815) = 1001905580 / 1

LCM(52,47,503,815) = 1001905580


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, 20/47, 61/503, 442/815

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, 20/47, 61/503, 442/815?

Answer: GCF of Numerators as per given numbers 3/52, 20/47, 61/503, 442/815 is

GCF of Numerators i.e. for 3,20,61,442 is 1

LCM of denominators i.e. for 52,47,503,815 is 1001905580.

Thus, GCF of Fractions is 1/1001905580.Finally, GCF of Fractions for 3/52, 20/47, 61/503, 442/815 is 1/1001905580.