Greatest Common Factor of 642/488, 554/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 642/488, 554/452

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 642/488,554/452

Given fractions are 642/488,554/452

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 642,554

Greatest Common Factor of Numerators i.e. GCF of 642,554 is 2 .

LCM of Denominators means LCM of 488,452 as per the given fractions.

LCM of 488,452 is 55144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 642,554

GCF of Fractions 642/488,554/452 is 2/55144

2 642, 554
321, 277

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

Greatest Common Factor of 642,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,554 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 554

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

1,2,277,554

Greatest Common Factor

We found the factors 642,554 . The biggest common factor number is the GCF number.
So the greatest common factor 642,554 is 2.

Lets's calculate LCM of 488,452

2 488, 452
2 244, 226
122, 113

∴ So the LCM of the given numbers is 2 x 2 x 122 x 113 = 55144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55144

Therefore, the GCF of Fractions 642/488,554/452 is 2/55144

Least Common Multiple of 488,452 with GCF Formula

Least Common Multiple of 488,452 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 488,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,452) = 4

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

GCF(488,452) x common factors =4 x 1 = 4

LCM(488,452) = ( 488 × 452 ) / 4

LCM(488,452) = 220576 / 4

LCM(488,452) = 55144


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 642/488, 554/452

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 642/488, 554/452?

Answer: GCF of Numerators as per given numbers 642/488, 554/452 is

GCF of Numerators i.e. for 642,554 is 2

LCM of denominators i.e. for 488,452 is 55144.

Thus, GCF of Fractions is 2/55144.Finally, GCF of Fractions for 642/488, 554/452 is 2/55144.