Greatest Common Factor of 53/25, 785/65, 892/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/25, 785/65, 892/537

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 53/25,785/65,892/537

Given fractions are 53/25,785/65,892/537

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 53,785,892

Greatest Common Factor of Numerators i.e. GCF of 53,785,892 is 1 .

LCM of Denominators means LCM of 25,65,537 as per the given fractions.

LCM of 25,65,537 is 174525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,785,892

GCF of Fractions 53/25,785/65,892/537 is 1/174525

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 53,785,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,785,892 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 53,785,892 . The biggest common factor number is the GCF number.
So the greatest common factor 53,785,892 is 1.

Lets's calculate LCM of 25,65,537

5 25, 65, 537
5, 13, 537

∴ So the LCM of the given numbers is 5 x 5 x 13 x 537 = 174525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174525

Therefore, the GCF of Fractions 53/25,785/65,892/537 is 1/174525

Least Common Multiple of 25,65,537 with GCF Formula

Least Common Multiple of 25,65,537 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 25,65,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,65,537) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,65,537) x common factors =1 x 5 = 5

LCM(25,65,537) = ( 25 × 65 × 537 ) / 5

LCM(25,65,537) = 872625 / 5

LCM(25,65,537) = 174525


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 53/25, 785/65, 892/537

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 53/25, 785/65, 892/537?

Answer: GCF of Numerators as per given numbers 53/25, 785/65, 892/537 is

GCF of Numerators i.e. for 53,785,892 is 1

LCM of denominators i.e. for 25,65,537 is 174525.

Thus, GCF of Fractions is 1/174525.Finally, GCF of Fractions for 53/25, 785/65, 892/537 is 1/174525.