Greatest Common Factor of 838/72, 539/1964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 838/72, 539/1964

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 838/72,539/1964

Given fractions are 838/72,539/1964

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 838,539

Greatest Common Factor of Numerators i.e. GCF of 838,539 is 1 .

LCM of Denominators means LCM of 72,1964 as per the given fractions.

LCM of 72,1964 is 35352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 838,539

GCF of Fractions 838/72,539/1964 is 1/35352

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

Greatest Common Factor of 838,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,539 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Greatest Common Factor

We found the factors 838,539 . The biggest common factor number is the GCF number.
So the greatest common factor 838,539 is 1.

Lets's calculate LCM of 72,1964

2 72, 1964
2 36, 982
18, 491

∴ So the LCM of the given numbers is 2 x 2 x 18 x 491 = 35352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35352

Therefore, the GCF of Fractions 838/72,539/1964 is 1/35352

Least Common Multiple of 72,1964 with GCF Formula

Least Common Multiple of 72,1964 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 72,1964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,1964) = 4

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

GCF(72,1964) x common factors =4 x 1 = 4

LCM(72,1964) = ( 72 × 1964 ) / 4

LCM(72,1964) = 141408 / 4

LCM(72,1964) = 35352


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 838/72, 539/1964

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 838/72, 539/1964?

Answer: GCF of Numerators as per given numbers 838/72, 539/1964 is

GCF of Numerators i.e. for 838,539 is 1

LCM of denominators i.e. for 72,1964 is 35352.

Thus, GCF of Fractions is 1/35352.Finally, GCF of Fractions for 838/72, 539/1964 is 1/35352.