Greatest Common Factor of 84/857, 5344/6976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/857, 5344/6976

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 84/857,5344/6976

Given fractions are 84/857,5344/6976

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 84,5344

Greatest Common Factor of Numerators i.e. GCF of 84,5344 is 4 .

LCM of Denominators means LCM of 857,6976 as per the given fractions.

LCM of 857,6976 is 5978432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,5344

GCF of Fractions 84/857,5344/6976 is 4/5978432

2 84, 5344
2 42, 2672
21, 1336

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 84,5344 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,5344 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 5344

List of positive integer factors of 5344 that divides 5344 without a remainder.

1,2,4,8,16,32,167,334,668,1336,2672,5344

Greatest Common Factor

We found the factors 84,5344 . The biggest common factor number is the GCF number.
So the greatest common factor 84,5344 is 4.

Lets's calculate LCM of 857,6976

Given numbers has no common factors except 1. So, there LCM is their product i.e 5978432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5978432

Therefore, the GCF of Fractions 84/857,5344/6976 is 4/5978432

Least Common Multiple of 857,6976 with GCF Formula

Least Common Multiple of 857,6976 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 857,6976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,6976) = 1

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

GCF(857,6976) x common factors =1 x 1 = 1

LCM(857,6976) = ( 857 × 6976 ) / 1

LCM(857,6976) = 5978432 / 1

LCM(857,6976) = 5978432


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 84/857, 5344/6976

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 84/857, 5344/6976?

Answer: GCF of Numerators as per given numbers 84/857, 5344/6976 is

GCF of Numerators i.e. for 84,5344 is 4

LCM of denominators i.e. for 857,6976 is 5978432.

Thus, GCF of Fractions is 4/5978432.Finally, GCF of Fractions for 84/857, 5344/6976 is 4/5978432.