Greatest Common Factor of 5439/964, 4249/1408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5439/964, 4249/1408

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 5439/964,4249/1408

Given fractions are 5439/964,4249/1408

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 5439,4249

Greatest Common Factor of Numerators i.e. GCF of 5439,4249 is 7 .

LCM of Denominators means LCM of 964,1408 as per the given fractions.

LCM of 964,1408 is 339328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5439,4249

GCF of Fractions 5439/964,4249/1408 is 7/339328

7 5439, 4249
777, 607

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5439,4249 By Matching Biggest Common Factor Method

Greatest Common Factor of 5439,4249 By Matching Biggest Common Factor Method

Factors of 5439

List of positive integer factors of 5439 that divides 5439 without a remainder.

1,3,7,21,37,49,111,147,259,777,1813,5439

Factors of 4249

List of positive integer factors of 4249 that divides 4249 without a remainder.

1,7,607,4249

Greatest Common Factor

We found the factors 5439,4249 . The biggest common factor number is the GCF number.
So the greatest common factor 5439,4249 is 7.

Lets's calculate LCM of 964,1408

2 964, 1408
2 482, 704
241, 352

∴ So the LCM of the given numbers is 2 x 2 x 241 x 352 = 339328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/339328

Therefore, the GCF of Fractions 5439/964,4249/1408 is 7/339328

Least Common Multiple of 964,1408 with GCF Formula

Least Common Multiple of 964,1408 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 964,1408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,1408) = 4

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

GCF(964,1408) x common factors =4 x 1 = 4

LCM(964,1408) = ( 964 × 1408 ) / 4

LCM(964,1408) = 1357312 / 4

LCM(964,1408) = 339328


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 5439/964, 4249/1408

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 5439/964, 4249/1408?

Answer: GCF of Numerators as per given numbers 5439/964, 4249/1408 is

GCF of Numerators i.e. for 5439,4249 is 7

LCM of denominators i.e. for 964,1408 is 339328.

Thus, GCF of Fractions is 7/339328.Finally, GCF of Fractions for 5439/964, 4249/1408 is 7/339328.