Greatest Common Factor of 9742/638, 4461/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9742/638, 4461/952

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 9742/638,4461/952

Given fractions are 9742/638,4461/952

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 9742,4461

Greatest Common Factor of Numerators i.e. GCF of 9742,4461 is 1 .

LCM of Denominators means LCM of 638,952 as per the given fractions.

LCM of 638,952 is 303688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9742,4461

GCF of Fractions 9742/638,4461/952 is 1/303688

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

Greatest Common Factor of 9742,4461 By Matching Biggest Common Factor Method

Greatest Common Factor of 9742,4461 By Matching Biggest Common Factor Method

Factors of 9742

List of positive integer factors of 9742 that divides 9742 without a remainder.

1,2,4871,9742

Factors of 4461

List of positive integer factors of 4461 that divides 4461 without a remainder.

1,3,1487,4461

Greatest Common Factor

We found the factors 9742,4461 . The biggest common factor number is the GCF number.
So the greatest common factor 9742,4461 is 1.

Lets's calculate LCM of 638,952

2 638, 952
319, 476

∴ So the LCM of the given numbers is 2 x 319 x 476 = 303688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303688

Therefore, the GCF of Fractions 9742/638,4461/952 is 1/303688

Least Common Multiple of 638,952 with GCF Formula

Least Common Multiple of 638,952 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 638,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,952) = 2

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

GCF(638,952) x common factors =2 x 1 = 2

LCM(638,952) = ( 638 × 952 ) / 2

LCM(638,952) = 607376 / 2

LCM(638,952) = 303688


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 9742/638, 4461/952

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 9742/638, 4461/952?

Answer: GCF of Numerators as per given numbers 9742/638, 4461/952 is

GCF of Numerators i.e. for 9742,4461 is 1

LCM of denominators i.e. for 638,952 is 303688.

Thus, GCF of Fractions is 1/303688.Finally, GCF of Fractions for 9742/638, 4461/952 is 1/303688.