Greatest Common Factor of 22/246, 153/634, 736/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/246, 153/634, 736/823

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 22/246,153/634,736/823

Given fractions are 22/246,153/634,736/823

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 22,153,736

Greatest Common Factor of Numerators i.e. GCF of 22,153,736 is 1 .

LCM of Denominators means LCM of 246,634,823 as per the given fractions.

LCM of 246,634,823 is 64179186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,153,736

GCF of Fractions 22/246,153/634,736/823 is 1/64179186

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

Greatest Common Factor of 22,153,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,153,736 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 22,153,736 . The biggest common factor number is the GCF number.
So the greatest common factor 22,153,736 is 1.

Lets's calculate LCM of 246,634,823

2 246, 634, 823
123, 317, 823

∴ So the LCM of the given numbers is 2 x 123 x 317 x 823 = 64179186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64179186

Therefore, the GCF of Fractions 22/246,153/634,736/823 is 1/64179186

Least Common Multiple of 246,634,823 with GCF Formula

Least Common Multiple of 246,634,823 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 246,634,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,634,823) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(246,634,823) x common factors =1 x 2 = 2

LCM(246,634,823) = ( 246 × 634 × 823 ) / 2

LCM(246,634,823) = 128358372 / 2

LCM(246,634,823) = 64179186


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 22/246, 153/634, 736/823

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 22/246, 153/634, 736/823?

Answer: GCF of Numerators as per given numbers 22/246, 153/634, 736/823 is

GCF of Numerators i.e. for 22,153,736 is 1

LCM of denominators i.e. for 246,634,823 is 64179186.

Thus, GCF of Fractions is 1/64179186.Finally, GCF of Fractions for 22/246, 153/634, 736/823 is 1/64179186.