Greatest Common Factor of 2/32, 54/77, 27/800, 848/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/32, 54/77, 27/800, 848/931

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 2/32,54/77,27/800,848/931

Given fractions are 2/32,54/77,27/800,848/931

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 2,54,27,848

Greatest Common Factor of Numerators i.e. GCF of 2,54,27,848 is 1 .

LCM of Denominators means LCM of 32,77,800,931 as per the given fractions.

LCM of 32,77,800,931 is 8192800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,54,27,848

GCF of Fractions 2/32,54/77,27/800,848/931 is 1/8192800

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

Greatest Common Factor of 2,54,27,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,54,27,848 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 2,54,27,848 . The biggest common factor number is the GCF number.
So the greatest common factor 2,54,27,848 is 1.

Lets's calculate LCM of 32,77,800,931

2 32, 77, 800, 931
2 16, 77, 400, 931
2 8, 77, 200, 931
2 4, 77, 100, 931
2 2, 77, 50, 931
7 1, 77, 25, 931
1, 11, 25, 133

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 1 x 11 x 25 x 133 = 8192800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8192800

Therefore, the GCF of Fractions 2/32,54/77,27/800,848/931 is 1/8192800

Least Common Multiple of 32,77,800,931 with GCF Formula

Least Common Multiple of 32,77,800,931 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 32,77,800,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,77,800,931) = 1

common factors(in case of two or more numbers have common factors) = 224

GCF(32,77,800,931) x common factors =1 x 224 = 224

LCM(32,77,800,931) = ( 32 × 77 × 800 × 931 ) / 224

LCM(32,77,800,931) = 1835187200 / 224

LCM(32,77,800,931) = 8192800


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 2/32, 54/77, 27/800, 848/931

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 2/32, 54/77, 27/800, 848/931?

Answer: GCF of Numerators as per given numbers 2/32, 54/77, 27/800, 848/931 is

GCF of Numerators i.e. for 2,54,27,848 is 1

LCM of denominators i.e. for 32,77,800,931 is 8192800.

Thus, GCF of Fractions is 1/8192800.Finally, GCF of Fractions for 2/32, 54/77, 27/800, 848/931 is 1/8192800.