Greatest Common Factor of 10/56, 66/55, 27/64, 494/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/56, 66/55, 27/64, 494/22

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 10/56,66/55,27/64,494/22

Given fractions are 10/56,66/55,27/64,494/22

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 10,66,27,494

Greatest Common Factor of Numerators i.e. GCF of 10,66,27,494 is 1 .

LCM of Denominators means LCM of 56,55,64,22 as per the given fractions.

LCM of 56,55,64,22 is 24640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,66,27,494

GCF of Fractions 10/56,66/55,27/64,494/22 is 1/24640

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

Greatest Common Factor of 10,66,27,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,66,27,494 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 27

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

1,3,9,27

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 10,66,27,494 . The biggest common factor number is the GCF number.
So the greatest common factor 10,66,27,494 is 1.

Lets's calculate LCM of 56,55,64,22

2 56, 55, 64, 22
2 28, 55, 32, 11
2 14, 55, 16, 11
11 7, 55, 8, 11
7, 5, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 5 x 8 x 1 = 24640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24640

Therefore, the GCF of Fractions 10/56,66/55,27/64,494/22 is 1/24640

Least Common Multiple of 56,55,64,22 with GCF Formula

Least Common Multiple of 56,55,64,22 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 56,55,64,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,55,64,22) = 1

common factors(in case of two or more numbers have common factors) = 176

GCF(56,55,64,22) x common factors =1 x 176 = 176

LCM(56,55,64,22) = ( 56 × 55 × 64 × 22 ) / 176

LCM(56,55,64,22) = 4336640 / 176

LCM(56,55,64,22) = 24640


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 10/56, 66/55, 27/64, 494/22

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 10/56, 66/55, 27/64, 494/22?

Answer: GCF of Numerators as per given numbers 10/56, 66/55, 27/64, 494/22 is

GCF of Numerators i.e. for 10,66,27,494 is 1

LCM of denominators i.e. for 56,55,64,22 is 24640.

Thus, GCF of Fractions is 1/24640.Finally, GCF of Fractions for 10/56, 66/55, 27/64, 494/22 is 1/24640.