Greatest Common Factor of 554/20, 129/23, 557/52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 554/20, 129/23, 557/52

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 554/20,129/23,557/52

Given fractions are 554/20,129/23,557/52

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 554,129,557

Greatest Common Factor of Numerators i.e. GCF of 554,129,557 is 1 .

LCM of Denominators means LCM of 20,23,52 as per the given fractions.

LCM of 20,23,52 is 5980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 554,129,557

GCF of Fractions 554/20,129/23,557/52 is 1/5980

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

Greatest Common Factor of 554,129,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,129,557 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

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 554,129,557 . The biggest common factor number is the GCF number.
So the greatest common factor 554,129,557 is 1.


Lets's calculate LCM of 20,23,52

2 20, 23, 52
2 10, 23, 26
5, 23, 13

∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 13 = 5980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5980

Therefore, the GCF of Fractions 554/20,129/23,557/52 is 1/5980

Least Common Multiple of 20,23,52 with GCF Formula

Least Common Multiple of 20,23,52 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 20,23,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,23,52) = 1

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

GCF(20,23,52) x common factors =1 x 4 = 4

LCM(20,23,52) = ( 20 × 23 × 52 ) / 4

LCM(20,23,52) = 23920 / 4

LCM(20,23,52) = 5980


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 554/20, 129/23, 557/52

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 554/20, 129/23, 557/52?

Answer: GCF of Numerators as per given numbers 554/20, 129/23, 557/52 is

GCF of Numerators i.e. for 554,129,557 is 1

LCM of denominators i.e. for 20,23,52 is 5980.

Thus, GCF of Fractions is 1/5980.Finally, GCF of Fractions for 554/20, 129/23, 557/52 is 1/5980.