Greatest Common Factor of 60/648, 50/810, 966/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/648, 50/810, 966/391

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 60/648,50/810,966/391

Given fractions are 60/648,50/810,966/391

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 60,50,966

Greatest Common Factor of Numerators i.e. GCF of 60,50,966 is 2 .

LCM of Denominators means LCM of 648,810,391 as per the given fractions.

LCM of 648,810,391 is 1266840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,50,966

GCF of Fractions 60/648,50/810,966/391 is 2/1266840

2 60, 50, 966
30, 25, 483

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 60,50,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,50,966 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 60,50,966 . The biggest common factor number is the GCF number.
So the greatest common factor 60,50,966 is 2.

Lets's calculate LCM of 648,810,391

2 648, 810, 391
3 324, 405, 391
3 108, 135, 391
3 36, 45, 391
3 12, 15, 391
4, 5, 391

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 4 x 5 x 391 = 1266840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1266840

Therefore, the GCF of Fractions 60/648,50/810,966/391 is 2/1266840

Least Common Multiple of 648,810,391 with GCF Formula

Least Common Multiple of 648,810,391 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 648,810,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,810,391) = 1

common factors(in case of two or more numbers have common factors) = 162

GCF(648,810,391) x common factors =1 x 162 = 162

LCM(648,810,391) = ( 648 × 810 × 391 ) / 162

LCM(648,810,391) = 205228080 / 162

LCM(648,810,391) = 1266840


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 60/648, 50/810, 966/391

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 60/648, 50/810, 966/391?

Answer: GCF of Numerators as per given numbers 60/648, 50/810, 966/391 is

GCF of Numerators i.e. for 60,50,966 is 2

LCM of denominators i.e. for 648,810,391 is 1266840.

Thus, GCF of Fractions is 2/1266840.Finally, GCF of Fractions for 60/648, 50/810, 966/391 is 2/1266840.