Greatest Common Factor of 936/260, 5603/7470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 936/260, 5603/7470

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 936/260,5603/7470

Given fractions are 936/260,5603/7470

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 936,5603

Greatest Common Factor of Numerators i.e. GCF of 936,5603 is 13 .

LCM of Denominators means LCM of 260,7470 as per the given fractions.

LCM of 260,7470 is 194220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 936,5603

GCF of Fractions 936/260,5603/7470 is 13/194220

13 936, 5603
72, 431

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 936,5603 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,5603 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 5603

List of positive integer factors of 5603 that divides 5603 without a remainder.

1,13,431,5603

Greatest Common Factor

We found the factors 936,5603 . The biggest common factor number is the GCF number.
So the greatest common factor 936,5603 is 13.

Lets's calculate LCM of 260,7470

2 260, 7470
5 130, 3735
26, 747

∴ So the LCM of the given numbers is 2 x 5 x 26 x 747 = 194220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/194220

Therefore, the GCF of Fractions 936/260,5603/7470 is 13/194220

Least Common Multiple of 260,7470 with GCF Formula

Least Common Multiple of 260,7470 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 260,7470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,7470) = 10

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

GCF(260,7470) x common factors =10 x 1 = 10

LCM(260,7470) = ( 260 × 7470 ) / 10

LCM(260,7470) = 1942200 / 10

LCM(260,7470) = 194220


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 936/260, 5603/7470

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 936/260, 5603/7470?

Answer: GCF of Numerators as per given numbers 936/260, 5603/7470 is

GCF of Numerators i.e. for 936,5603 is 13

LCM of denominators i.e. for 260,7470 is 194220.

Thus, GCF of Fractions is 13/194220.Finally, GCF of Fractions for 936/260, 5603/7470 is 13/194220.