Greatest Common Factor of 2/33, 32/56, 52/196, 844/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/33, 32/56, 52/196, 844/617

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 2/33,32/56,52/196,844/617

Given fractions are 2/33,32/56,52/196,844/617

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 2,32,52,844

Greatest Common Factor of Numerators i.e. GCF of 2,32,52,844 is 2 .

LCM of Denominators means LCM of 33,56,196,617 as per the given fractions.

LCM of 33,56,196,617 is 7981512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,32,52,844

GCF of Fractions 2/33,32/56,52/196,844/617 is 2/7981512

2 2, 32, 52, 844
1, 16, 26, 422

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

Greatest Common Factor of 2,32,52,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,32,52,844 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 2,32,52,844 . The biggest common factor number is the GCF number.
So the greatest common factor 2,32,52,844 is 2.

Lets's calculate LCM of 33,56,196,617

2 33, 56, 196, 617
2 33, 28, 98, 617
7 33, 14, 49, 617
33, 2, 7, 617

∴ So the LCM of the given numbers is 2 x 2 x 7 x 33 x 2 x 7 x 617 = 7981512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7981512

Therefore, the GCF of Fractions 2/33,32/56,52/196,844/617 is 2/7981512

Least Common Multiple of 33,56,196,617 with GCF Formula

Least Common Multiple of 33,56,196,617 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 33,56,196,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,56,196,617) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(33,56,196,617) x common factors =1 x 28 = 28

LCM(33,56,196,617) = ( 33 × 56 × 196 × 617 ) / 28

LCM(33,56,196,617) = 223482336 / 28

LCM(33,56,196,617) = 7981512


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 2/33, 32/56, 52/196, 844/617

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 2/33, 32/56, 52/196, 844/617?

Answer: GCF of Numerators as per given numbers 2/33, 32/56, 52/196, 844/617 is

GCF of Numerators i.e. for 2,32,52,844 is 2

LCM of denominators i.e. for 33,56,196,617 is 7981512.

Thus, GCF of Fractions is 2/7981512.Finally, GCF of Fractions for 2/33, 32/56, 52/196, 844/617 is 2/7981512.