Greatest Common Factor of 759/331, 9801/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/331, 9801/342

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 759/331,9801/342

Given fractions are 759/331,9801/342

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 759,9801

Greatest Common Factor of Numerators i.e. GCF of 759,9801 is 33 .

LCM of Denominators means LCM of 331,342 as per the given fractions.

LCM of 331,342 is 113202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,9801

GCF of Fractions 759/331,9801/342 is 33/113202

3 759, 9801
11 253, 3267
23, 297

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 759,9801 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,9801 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 9801

List of positive integer factors of 9801 that divides 9801 without a remainder.

1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801

Greatest Common Factor

We found the factors 759,9801 . The biggest common factor number is the GCF number.
So the greatest common factor 759,9801 is 33.

Lets's calculate LCM of 331,342

Given numbers has no common factors except 1. So, there LCM is their product i.e 113202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/113202

Therefore, the GCF of Fractions 759/331,9801/342 is 33/113202

Least Common Multiple of 331,342 with GCF Formula

Least Common Multiple of 331,342 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 331,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,342) = 1

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

GCF(331,342) x common factors =1 x 1 = 1

LCM(331,342) = ( 331 × 342 ) / 1

LCM(331,342) = 113202 / 1

LCM(331,342) = 113202


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 759/331, 9801/342

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 759/331, 9801/342?

Answer: GCF of Numerators as per given numbers 759/331, 9801/342 is

GCF of Numerators i.e. for 759,9801 is 33

LCM of denominators i.e. for 331,342 is 113202.

Thus, GCF of Fractions is 33/113202.Finally, GCF of Fractions for 759/331, 9801/342 is 33/113202.