Greatest Common Factor of 456/659, 5130/8598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 456/659, 5130/8598

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 456/659,5130/8598

Given fractions are 456/659,5130/8598

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 456,5130

Greatest Common Factor of Numerators i.e. GCF of 456,5130 is 114 .

LCM of Denominators means LCM of 659,8598 as per the given fractions.

LCM of 659,8598 is 5666082 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 456,5130

GCF of Fractions 456/659,5130/8598 is 114/5666082

2 456, 5130
3 228, 2565
19 76, 855
4, 45

∴ So the GCF of the given numbers is 2 x 3 x 19 = 114

Greatest Common Factor of 456,5130 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,5130 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130

Greatest Common Factor

We found the factors 456,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 456,5130 is 114.

Lets's calculate LCM of 659,8598

Given numbers has no common factors except 1. So, there LCM is their product i.e 5666082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 114/5666082

Therefore, the GCF of Fractions 456/659,5130/8598 is 114/5666082

Least Common Multiple of 659,8598 with GCF Formula

Least Common Multiple of 659,8598 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 659,8598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,8598) = 1

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

GCF(659,8598) x common factors =1 x 1 = 1

LCM(659,8598) = ( 659 × 8598 ) / 1

LCM(659,8598) = 5666082 / 1

LCM(659,8598) = 5666082


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 456/659, 5130/8598

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 456/659, 5130/8598?

Answer: GCF of Numerators as per given numbers 456/659, 5130/8598 is

GCF of Numerators i.e. for 456,5130 is 114

LCM of denominators i.e. for 659,8598 is 5666082.

Thus, GCF of Fractions is 114/5666082.Finally, GCF of Fractions for 456/659, 5130/8598 is 114/5666082.