Greatest Common Factor of 9759/202, 4378/3502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9759/202, 4378/3502

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 9759/202,4378/3502

Given fractions are 9759/202,4378/3502

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 9759,4378

Greatest Common Factor of Numerators i.e. GCF of 9759,4378 is 1 .

LCM of Denominators means LCM of 202,3502 as per the given fractions.

LCM of 202,3502 is 353702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9759,4378

GCF of Fractions 9759/202,4378/3502 is 1/353702

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

Greatest Common Factor of 9759,4378 By Matching Biggest Common Factor Method

Greatest Common Factor of 9759,4378 By Matching Biggest Common Factor Method

Factors of 9759

List of positive integer factors of 9759 that divides 9759 without a remainder.

1,3,3253,9759

Factors of 4378

List of positive integer factors of 4378 that divides 4378 without a remainder.

1,2,11,22,199,398,2189,4378

Greatest Common Factor

We found the factors 9759,4378 . The biggest common factor number is the GCF number.
So the greatest common factor 9759,4378 is 1.

Lets's calculate LCM of 202,3502

2 202, 3502
101, 1751

∴ So the LCM of the given numbers is 2 x 101 x 1751 = 353702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353702

Therefore, the GCF of Fractions 9759/202,4378/3502 is 1/353702

Least Common Multiple of 202,3502 with GCF Formula

Least Common Multiple of 202,3502 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 202,3502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,3502) = 2

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

GCF(202,3502) x common factors =2 x 1 = 2

LCM(202,3502) = ( 202 × 3502 ) / 2

LCM(202,3502) = 707404 / 2

LCM(202,3502) = 353702


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 9759/202, 4378/3502

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 9759/202, 4378/3502?

Answer: GCF of Numerators as per given numbers 9759/202, 4378/3502 is

GCF of Numerators i.e. for 9759,4378 is 1

LCM of denominators i.e. for 202,3502 is 353702.

Thus, GCF of Fractions is 1/353702.Finally, GCF of Fractions for 9759/202, 4378/3502 is 1/353702.