Greatest Common Factor of 122/64, 727/31, 694/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 122/64, 727/31, 694/24

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 122/64,727/31,694/24

Given fractions are 122/64,727/31,694/24

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 122,727,694

Greatest Common Factor of Numerators i.e. GCF of 122,727,694 is 1 .

LCM of Denominators means LCM of 64,31,24 as per the given fractions.

LCM of 64,31,24 is 5952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 122,727,694

GCF of Fractions 122/64,727/31,694/24 is 1/5952

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

Greatest Common Factor of 122,727,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,727,694 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 122,727,694 . The biggest common factor number is the GCF number.
So the greatest common factor 122,727,694 is 1.

Lets's calculate LCM of 64,31,24

2 64, 31, 24
2 32, 31, 12
2 16, 31, 6
8, 31, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 31 x 3 = 5952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5952

Therefore, the GCF of Fractions 122/64,727/31,694/24 is 1/5952

Least Common Multiple of 64,31,24 with GCF Formula

Least Common Multiple of 64,31,24 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 64,31,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,31,24) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(64,31,24) x common factors =1 x 8 = 8

LCM(64,31,24) = ( 64 × 31 × 24 ) / 8

LCM(64,31,24) = 47616 / 8

LCM(64,31,24) = 5952


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 122/64, 727/31, 694/24

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 122/64, 727/31, 694/24?

Answer: GCF of Numerators as per given numbers 122/64, 727/31, 694/24 is

GCF of Numerators i.e. for 122,727,694 is 1

LCM of denominators i.e. for 64,31,24 is 5952.

Thus, GCF of Fractions is 1/5952.Finally, GCF of Fractions for 122/64, 727/31, 694/24 is 1/5952.