Greatest Common Factor of 47/65, 76/30, 92/20, 557/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/65, 76/30, 92/20, 557/16

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 47/65,76/30,92/20,557/16

Given fractions are 47/65,76/30,92/20,557/16

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 47,76,92,557

Greatest Common Factor of Numerators i.e. GCF of 47,76,92,557 is 1 .

LCM of Denominators means LCM of 65,30,20,16 as per the given fractions.

LCM of 65,30,20,16 is 3120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,76,92,557

GCF of Fractions 47/65,76/30,92/20,557/16 is 1/3120

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

Greatest Common Factor of 47,76,92,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,76,92,557 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 47,76,92,557 . The biggest common factor number is the GCF number.
So the greatest common factor 47,76,92,557 is 1.

Lets's calculate LCM of 65,30,20,16

2 65, 30, 20, 16
2 65, 15, 10, 8
5 65, 15, 5, 4
13, 3, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 3 x 1 x 4 = 3120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3120

Therefore, the GCF of Fractions 47/65,76/30,92/20,557/16 is 1/3120

Least Common Multiple of 65,30,20,16 with GCF Formula

Least Common Multiple of 65,30,20,16 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 65,30,20,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,30,20,16) = 1

common factors(in case of two or more numbers have common factors) = 200

GCF(65,30,20,16) x common factors =1 x 200 = 200

LCM(65,30,20,16) = ( 65 × 30 × 20 × 16 ) / 200

LCM(65,30,20,16) = 624000 / 200

LCM(65,30,20,16) = 3120


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 47/65, 76/30, 92/20, 557/16

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 47/65, 76/30, 92/20, 557/16?

Answer: GCF of Numerators as per given numbers 47/65, 76/30, 92/20, 557/16 is

GCF of Numerators i.e. for 47,76,92,557 is 1

LCM of denominators i.e. for 65,30,20,16 is 3120.

Thus, GCF of Fractions is 1/3120.Finally, GCF of Fractions for 47/65, 76/30, 92/20, 557/16 is 1/3120.