Greatest Common Factor of 962/52, 741/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 962/52, 741/946

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 962/52,741/946

Given fractions are 962/52,741/946

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 962,741

Greatest Common Factor of Numerators i.e. GCF of 962,741 is 13 .

LCM of Denominators means LCM of 52,946 as per the given fractions.

LCM of 52,946 is 24596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 962,741

GCF of Fractions 962/52,741/946 is 13/24596

13 962, 741
74, 57

∴ So the GCF of the given numbers is 13 = 13

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

Greatest Common Factor of 962,741 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 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 962,741 . The biggest common factor number is the GCF number.
So the greatest common factor 962,741 is 13.

Lets's calculate LCM of 52,946

2 52, 946
26, 473

∴ So the LCM of the given numbers is 2 x 26 x 473 = 24596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/24596

Therefore, the GCF of Fractions 962/52,741/946 is 13/24596

Least Common Multiple of 52,946 with GCF Formula

Least Common Multiple of 52,946 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 52,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,946) = 2

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

GCF(52,946) x common factors =2 x 1 = 2

LCM(52,946) = ( 52 × 946 ) / 2

LCM(52,946) = 49192 / 2

LCM(52,946) = 24596


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 962/52, 741/946

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 962/52, 741/946?

Answer: GCF of Numerators as per given numbers 962/52, 741/946 is

GCF of Numerators i.e. for 962,741 is 13

LCM of denominators i.e. for 52,946 is 24596.

Thus, GCF of Fractions is 13/24596.Finally, GCF of Fractions for 962/52, 741/946 is 13/24596.