Greatest Common Factor of 625/533, 6180/1157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 625/533, 6180/1157

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 625/533,6180/1157

Given fractions are 625/533,6180/1157

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 625,6180

Greatest Common Factor of Numerators i.e. GCF of 625,6180 is 5 .

LCM of Denominators means LCM of 533,1157 as per the given fractions.

LCM of 533,1157 is 47437 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 625,6180

GCF of Fractions 625/533,6180/1157 is 5/47437

5 625, 6180
125, 1236

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

Greatest Common Factor of 625,6180 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,6180 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 6180

List of positive integer factors of 6180 that divides 6180 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,103,206,309,412,515,618,1030,1236,1545,2060,3090,6180

Greatest Common Factor

We found the factors 625,6180 . The biggest common factor number is the GCF number.
So the greatest common factor 625,6180 is 5.

Lets's calculate LCM of 533,1157

13 533, 1157
41, 89

∴ So the LCM of the given numbers is 13 x 41 x 89 = 47437

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/47437

Therefore, the GCF of Fractions 625/533,6180/1157 is 5/47437

Least Common Multiple of 533,1157 with GCF Formula

Least Common Multiple of 533,1157 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 533,1157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,1157) = 13

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

GCF(533,1157) x common factors =13 x 1 = 13

LCM(533,1157) = ( 533 × 1157 ) / 13

LCM(533,1157) = 616681 / 13

LCM(533,1157) = 47437


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 625/533, 6180/1157

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 625/533, 6180/1157?

Answer: GCF of Numerators as per given numbers 625/533, 6180/1157 is

GCF of Numerators i.e. for 625,6180 is 5

LCM of denominators i.e. for 533,1157 is 47437.

Thus, GCF of Fractions is 5/47437.Finally, GCF of Fractions for 625/533, 6180/1157 is 5/47437.