Greatest Common Factor of 450/488, 6164/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 450/488, 6164/562

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 450/488,6164/562

Given fractions are 450/488,6164/562

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 450,6164

Greatest Common Factor of Numerators i.e. GCF of 450,6164 is 2 .

LCM of Denominators means LCM of 488,562 as per the given fractions.

LCM of 488,562 is 137128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 450,6164

GCF of Fractions 450/488,6164/562 is 2/137128

2 450, 6164
225, 3082

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

Greatest Common Factor of 450,6164 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,6164 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 6164

List of positive integer factors of 6164 that divides 6164 without a remainder.

1,2,4,23,46,67,92,134,268,1541,3082,6164

Greatest Common Factor

We found the factors 450,6164 . The biggest common factor number is the GCF number.
So the greatest common factor 450,6164 is 2.

Lets's calculate LCM of 488,562

2 488, 562
244, 281

∴ So the LCM of the given numbers is 2 x 244 x 281 = 137128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137128

Therefore, the GCF of Fractions 450/488,6164/562 is 2/137128

Least Common Multiple of 488,562 with GCF Formula

Least Common Multiple of 488,562 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 488,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,562) = 2

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

GCF(488,562) x common factors =2 x 1 = 2

LCM(488,562) = ( 488 × 562 ) / 2

LCM(488,562) = 274256 / 2

LCM(488,562) = 137128


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 450/488, 6164/562

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 450/488, 6164/562?

Answer: GCF of Numerators as per given numbers 450/488, 6164/562 is

GCF of Numerators i.e. for 450,6164 is 2

LCM of denominators i.e. for 488,562 is 137128.

Thus, GCF of Fractions is 2/137128.Finally, GCF of Fractions for 450/488, 6164/562 is 2/137128.