Greatest Common Factor of 44/77, 961/77, 960/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/77, 961/77, 960/941

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 44/77,961/77,960/941

Given fractions are 44/77,961/77,960/941

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 44,961,960

Greatest Common Factor of Numerators i.e. GCF of 44,961,960 is 1 .

LCM of Denominators means LCM of 77,77,941 as per the given fractions.

LCM of 77,77,941 is 72457 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,961,960

GCF of Fractions 44/77,961/77,960/941 is 1/72457

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

Greatest Common Factor of 44,961,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,961,960 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 44,961,960 . The biggest common factor number is the GCF number.
So the greatest common factor 44,961,960 is 1.

Lets's calculate LCM of 77,77,941

7 77, 77, 941
11 11, 11, 941
1, 1, 941

∴ So the LCM of the given numbers is 7 x 11 x 1 x 1 x 941 = 72457

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72457

Therefore, the GCF of Fractions 44/77,961/77,960/941 is 1/72457

Least Common Multiple of 77,77,941 with GCF Formula

Least Common Multiple of 77,77,941 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 77,77,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,77,941) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(77,77,941) x common factors =1 x 77 = 77

LCM(77,77,941) = ( 77 × 77 × 941 ) / 77

LCM(77,77,941) = 5579189 / 77

LCM(77,77,941) = 72457


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 44/77, 961/77, 960/941

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 44/77, 961/77, 960/941?

Answer: GCF of Numerators as per given numbers 44/77, 961/77, 960/941 is

GCF of Numerators i.e. for 44,961,960 is 1

LCM of denominators i.e. for 77,77,941 is 72457.

Thus, GCF of Fractions is 1/72457.Finally, GCF of Fractions for 44/77, 961/77, 960/941 is 1/72457.