Greatest Common Factor of 962/84, 264/60, 741/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 962/84, 264/60, 741/100

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 962/84,264/60,741/100

Given fractions are 962/84,264/60,741/100

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 962,264,741

Greatest Common Factor of Numerators i.e. GCF of 962,264,741 is 1 .

LCM of Denominators means LCM of 84,60,100 as per the given fractions.

LCM of 84,60,100 is 2100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 962,264,741

GCF of Fractions 962/84,264/60,741/100 is 1/2100

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

Greatest Common Factor of 962,264,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,264,741 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 962,264,741 . The biggest common factor number is the GCF number.
So the greatest common factor 962,264,741 is 1.

Lets's calculate LCM of 84,60,100

2 84, 60, 100
2 42, 30, 50
3 21, 15, 25
5 7, 5, 25
7, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 5 = 2100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2100

Therefore, the GCF of Fractions 962/84,264/60,741/100 is 1/2100

Least Common Multiple of 84,60,100 with GCF Formula

Least Common Multiple of 84,60,100 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 84,60,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,60,100) = 4

common factors(in case of two or more numbers have common factors) = 60

GCF(84,60,100) x common factors =4 x 60 = 240

LCM(84,60,100) = ( 84 × 60 × 100 ) / 240

LCM(84,60,100) = 504000 / 240

LCM(84,60,100) = 2100


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 962/84, 264/60, 741/100

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 962/84, 264/60, 741/100?

Answer: GCF of Numerators as per given numbers 962/84, 264/60, 741/100 is

GCF of Numerators i.e. for 962,264,741 is 1

LCM of denominators i.e. for 84,60,100 is 2100.

Thus, GCF of Fractions is 1/2100.Finally, GCF of Fractions for 962/84, 264/60, 741/100 is 1/2100.