Greatest Common Factor of 961/50, 582/74, 780/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 961/50, 582/74, 780/792

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 961/50,582/74,780/792

Given fractions are 961/50,582/74,780/792

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 961,582,780

Greatest Common Factor of Numerators i.e. GCF of 961,582,780 is 1 .

LCM of Denominators means LCM of 50,74,792 as per the given fractions.

LCM of 50,74,792 is 732600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 961,582,780

GCF of Fractions 961/50,582/74,780/792 is 1/732600

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

Greatest Common Factor of 961,582,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,582,780 By Matching Biggest Common Factor Method

Factors of 961

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

1,31,961

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 961,582,780 . The biggest common factor number is the GCF number.
So the greatest common factor 961,582,780 is 1.

Lets's calculate LCM of 50,74,792

2 50, 74, 792
25, 37, 396

∴ So the LCM of the given numbers is 2 x 25 x 37 x 396 = 732600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/732600

Therefore, the GCF of Fractions 961/50,582/74,780/792 is 1/732600

Least Common Multiple of 50,74,792 with GCF Formula

Least Common Multiple of 50,74,792 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 50,74,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,74,792) = 2

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

GCF(50,74,792) x common factors =2 x 2 = 4

LCM(50,74,792) = ( 50 × 74 × 792 ) / 4

LCM(50,74,792) = 2930400 / 4

LCM(50,74,792) = 732600


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 961/50, 582/74, 780/792

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 961/50, 582/74, 780/792?

Answer: GCF of Numerators as per given numbers 961/50, 582/74, 780/792 is

GCF of Numerators i.e. for 961,582,780 is 1

LCM of denominators i.e. for 50,74,792 is 732600.

Thus, GCF of Fractions is 1/732600.Finally, GCF of Fractions for 961/50, 582/74, 780/792 is 1/732600.