Greatest Common Factor of 635/297, 968/603, 382/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 635/297, 968/603, 382/466

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 635/297,968/603,382/466

Given fractions are 635/297,968/603,382/466

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 635,968,382

Greatest Common Factor of Numerators i.e. GCF of 635,968,382 is 1 .

LCM of Denominators means LCM of 297,603,466 as per the given fractions.

LCM of 297,603,466 is 9272934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 635,968,382

GCF of Fractions 635/297,968/603,382/466 is 1/9272934

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

Greatest Common Factor of 635,968,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,968,382 By Matching Biggest Common Factor Method

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 635,968,382 . The biggest common factor number is the GCF number.
So the greatest common factor 635,968,382 is 1.

Lets's calculate LCM of 297,603,466

3 297, 603, 466
3 99, 201, 466
33, 67, 466

∴ So the LCM of the given numbers is 3 x 3 x 33 x 67 x 466 = 9272934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9272934

Therefore, the GCF of Fractions 635/297,968/603,382/466 is 1/9272934

Least Common Multiple of 297,603,466 with GCF Formula

Least Common Multiple of 297,603,466 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 297,603,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,603,466) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(297,603,466) x common factors =1 x 9 = 9

LCM(297,603,466) = ( 297 × 603 × 466 ) / 9

LCM(297,603,466) = 83456406 / 9

LCM(297,603,466) = 9272934


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 635/297, 968/603, 382/466

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 635/297, 968/603, 382/466?

Answer: GCF of Numerators as per given numbers 635/297, 968/603, 382/466 is

GCF of Numerators i.e. for 635,968,382 is 1

LCM of denominators i.e. for 297,603,466 is 9272934.

Thus, GCF of Fractions is 1/9272934.Finally, GCF of Fractions for 635/297, 968/603, 382/466 is 1/9272934.