Greatest Common Factor of 485/532, 4720/5061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 485/532, 4720/5061

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 485/532,4720/5061

Given fractions are 485/532,4720/5061

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 485,4720

Greatest Common Factor of Numerators i.e. GCF of 485,4720 is 5 .

LCM of Denominators means LCM of 532,5061 as per the given fractions.

LCM of 532,5061 is 384636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 485,4720

GCF of Fractions 485/532,4720/5061 is 5/384636

5 485, 4720
97, 944

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 485,4720 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,4720 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 4720

List of positive integer factors of 4720 that divides 4720 without a remainder.

1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720

Greatest Common Factor

We found the factors 485,4720 . The biggest common factor number is the GCF number.
So the greatest common factor 485,4720 is 5.

Lets's calculate LCM of 532,5061

7 532, 5061
76, 723

∴ So the LCM of the given numbers is 7 x 76 x 723 = 384636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/384636

Therefore, the GCF of Fractions 485/532,4720/5061 is 5/384636

Least Common Multiple of 532,5061 with GCF Formula

Least Common Multiple of 532,5061 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 532,5061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,5061) = 7

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

GCF(532,5061) x common factors =7 x 1 = 7

LCM(532,5061) = ( 532 × 5061 ) / 7

LCM(532,5061) = 2692452 / 7

LCM(532,5061) = 384636


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 485/532, 4720/5061

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 485/532, 4720/5061?

Answer: GCF of Numerators as per given numbers 485/532, 4720/5061 is

GCF of Numerators i.e. for 485,4720 is 5

LCM of denominators i.e. for 532,5061 is 384636.

Thus, GCF of Fractions is 5/384636.Finally, GCF of Fractions for 485/532, 4720/5061 is 5/384636.