Greatest Common Factor of 500/48, 6520/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 500/48, 6520/554

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 500/48,6520/554

Given fractions are 500/48,6520/554

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 500,6520

Greatest Common Factor of Numerators i.e. GCF of 500,6520 is 20 .

LCM of Denominators means LCM of 48,554 as per the given fractions.

LCM of 48,554 is 13296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 500,6520

GCF of Fractions 500/48,6520/554 is 20/13296

2 500, 6520
2 250, 3260
5 125, 1630
25, 326

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 500,6520 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,6520 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 6520

List of positive integer factors of 6520 that divides 6520 without a remainder.

1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520

Greatest Common Factor

We found the factors 500,6520 . The biggest common factor number is the GCF number.
So the greatest common factor 500,6520 is 20.

Lets's calculate LCM of 48,554

2 48, 554
24, 277

∴ So the LCM of the given numbers is 2 x 24 x 277 = 13296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/13296

Therefore, the GCF of Fractions 500/48,6520/554 is 20/13296

Least Common Multiple of 48,554 with GCF Formula

Least Common Multiple of 48,554 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 48,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,554) = 2

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

GCF(48,554) x common factors =2 x 1 = 2

LCM(48,554) = ( 48 × 554 ) / 2

LCM(48,554) = 26592 / 2

LCM(48,554) = 13296


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 500/48, 6520/554

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 500/48, 6520/554?

Answer: GCF of Numerators as per given numbers 500/48, 6520/554 is

GCF of Numerators i.e. for 500,6520 is 20

LCM of denominators i.e. for 48,554 is 13296.

Thus, GCF of Fractions is 20/13296.Finally, GCF of Fractions for 500/48, 6520/554 is 20/13296.