Greatest Common Factor of 946/65, 7438/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 946/65, 7438/351

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 946/65,7438/351

Given fractions are 946/65,7438/351

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 946,7438

Greatest Common Factor of Numerators i.e. GCF of 946,7438 is 2 .

LCM of Denominators means LCM of 65,351 as per the given fractions.

LCM of 65,351 is 1755 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 946,7438

GCF of Fractions 946/65,7438/351 is 2/1755

2 946, 7438
473, 3719

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

Greatest Common Factor of 946,7438 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,7438 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 7438

List of positive integer factors of 7438 that divides 7438 without a remainder.

1,2,3719,7438

Greatest Common Factor

We found the factors 946,7438 . The biggest common factor number is the GCF number.
So the greatest common factor 946,7438 is 2.

Lets's calculate LCM of 65,351

13 65, 351
5, 27

∴ So the LCM of the given numbers is 13 x 5 x 27 = 1755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1755

Therefore, the GCF of Fractions 946/65,7438/351 is 2/1755

Least Common Multiple of 65,351 with GCF Formula

Least Common Multiple of 65,351 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 65,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,351) = 13

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

GCF(65,351) x common factors =13 x 1 = 13

LCM(65,351) = ( 65 × 351 ) / 13

LCM(65,351) = 22815 / 13

LCM(65,351) = 1755


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 946/65, 7438/351

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 946/65, 7438/351?

Answer: GCF of Numerators as per given numbers 946/65, 7438/351 is

GCF of Numerators i.e. for 946,7438 is 2

LCM of denominators i.e. for 65,351 is 1755.

Thus, GCF of Fractions is 2/1755.Finally, GCF of Fractions for 946/65, 7438/351 is 2/1755.