Greatest Common Factor of 444/241, 1092/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 444/241, 1092/681

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 444/241,1092/681

Given fractions are 444/241,1092/681

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 444,1092

Greatest Common Factor of Numerators i.e. GCF of 444,1092 is 12 .

LCM of Denominators means LCM of 241,681 as per the given fractions.

LCM of 241,681 is 164121 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 444,1092

GCF of Fractions 444/241,1092/681 is 12/164121

2 444, 1092
2 222, 546
3 111, 273
37, 91

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 444,1092 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,1092 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 1092

List of positive integer factors of 1092 that divides 1092 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,52,78,84,91,156,182,273,364,546,1092

Greatest Common Factor

We found the factors 444,1092 . The biggest common factor number is the GCF number.
So the greatest common factor 444,1092 is 12.

Lets's calculate LCM of 241,681

Given numbers has no common factors except 1. So, there LCM is their product i.e 164121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/164121

Therefore, the GCF of Fractions 444/241,1092/681 is 12/164121

Least Common Multiple of 241,681 with GCF Formula

Least Common Multiple of 241,681 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 241,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,681) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(241,681) x common factors =1 x 1 = 1

LCM(241,681) = ( 241 × 681 ) / 1

LCM(241,681) = 164121 / 1

LCM(241,681) = 164121


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 444/241, 1092/681

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 444/241, 1092/681?

Answer: GCF of Numerators as per given numbers 444/241, 1092/681 is

GCF of Numerators i.e. for 444,1092 is 12

LCM of denominators i.e. for 241,681 is 164121.

Thus, GCF of Fractions is 12/164121.Finally, GCF of Fractions for 444/241, 1092/681 is 12/164121.