Greatest Common Factor of 4358/35, 9082/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4358/35, 9082/321

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 4358/35,9082/321

Given fractions are 4358/35,9082/321

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 4358,9082

Greatest Common Factor of Numerators i.e. GCF of 4358,9082 is 2 .

LCM of Denominators means LCM of 35,321 as per the given fractions.

LCM of 35,321 is 11235 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4358,9082

GCF of Fractions 4358/35,9082/321 is 2/11235

2 4358, 9082
2179, 4541

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

Greatest Common Factor of 4358,9082 By Matching Biggest Common Factor Method

Greatest Common Factor of 4358,9082 By Matching Biggest Common Factor Method

Factors of 4358

List of positive integer factors of 4358 that divides 4358 without a remainder.

1,2,2179,4358

Factors of 9082

List of positive integer factors of 9082 that divides 9082 without a remainder.

1,2,19,38,239,478,4541,9082

Greatest Common Factor

We found the factors 4358,9082 . The biggest common factor number is the GCF number.
So the greatest common factor 4358,9082 is 2.

Lets's calculate LCM of 35,321

Given numbers has no common factors except 1. So, there LCM is their product i.e 11235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11235

Therefore, the GCF of Fractions 4358/35,9082/321 is 2/11235

Least Common Multiple of 35,321 with GCF Formula

Least Common Multiple of 35,321 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 35,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,321) = 1

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

GCF(35,321) x common factors =1 x 1 = 1

LCM(35,321) = ( 35 × 321 ) / 1

LCM(35,321) = 11235 / 1

LCM(35,321) = 11235


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 4358/35, 9082/321

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 4358/35, 9082/321?

Answer: GCF of Numerators as per given numbers 4358/35, 9082/321 is

GCF of Numerators i.e. for 4358,9082 is 2

LCM of denominators i.e. for 35,321 is 11235.

Thus, GCF of Fractions is 2/11235.Finally, GCF of Fractions for 4358/35, 9082/321 is 2/11235.