Greatest Common Factor of 5344/301, 2952/3211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5344/301, 2952/3211

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 5344/301,2952/3211

Given fractions are 5344/301,2952/3211

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 5344,2952

Greatest Common Factor of Numerators i.e. GCF of 5344,2952 is 8 .

LCM of Denominators means LCM of 301,3211 as per the given fractions.

LCM of 301,3211 is 966511 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5344,2952

GCF of Fractions 5344/301,2952/3211 is 8/966511

2 5344, 2952
2 2672, 1476
2 1336, 738
668, 369

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5344,2952 By Matching Biggest Common Factor Method

Greatest Common Factor of 5344,2952 By Matching Biggest Common Factor Method

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

Factors of 2952

List of positive integer factors of 2952 that divides 2952 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,41,72,82,123,164,246,328,369,492,738,984,1476,2952

Greatest Common Factor

We found the factors 5344,2952 . The biggest common factor number is the GCF number.
So the greatest common factor 5344,2952 is 8.

Lets's calculate LCM of 301,3211

Given numbers has no common factors except 1. So, there LCM is their product i.e 966511

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/966511

Therefore, the GCF of Fractions 5344/301,2952/3211 is 8/966511

Least Common Multiple of 301,3211 with GCF Formula

Least Common Multiple of 301,3211 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 301,3211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,3211) = 1

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

GCF(301,3211) x common factors =1 x 1 = 1

LCM(301,3211) = ( 301 × 3211 ) / 1

LCM(301,3211) = 966511 / 1

LCM(301,3211) = 966511


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 5344/301, 2952/3211

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 5344/301, 2952/3211?

Answer: GCF of Numerators as per given numbers 5344/301, 2952/3211 is

GCF of Numerators i.e. for 5344,2952 is 8

LCM of denominators i.e. for 301,3211 is 966511.

Thus, GCF of Fractions is 8/966511.Finally, GCF of Fractions for 5344/301, 2952/3211 is 8/966511.