Greatest Common Factor of 8258/596, 9642/3821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8258/596, 9642/3821

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 8258/596,9642/3821

Given fractions are 8258/596,9642/3821

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 8258,9642

Greatest Common Factor of Numerators i.e. GCF of 8258,9642 is 2 .

LCM of Denominators means LCM of 596,3821 as per the given fractions.

LCM of 596,3821 is 2277316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8258,9642

GCF of Fractions 8258/596,9642/3821 is 2/2277316

2 8258, 9642
4129, 4821

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

Greatest Common Factor of 8258,9642 By Matching Biggest Common Factor Method

Greatest Common Factor of 8258,9642 By Matching Biggest Common Factor Method

Factors of 8258

List of positive integer factors of 8258 that divides 8258 without a remainder.

1,2,4129,8258

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1,2,3,6,1607,3214,4821,9642

Greatest Common Factor

We found the factors 8258,9642 . The biggest common factor number is the GCF number.
So the greatest common factor 8258,9642 is 2.

Lets's calculate LCM of 596,3821

Given numbers has no common factors except 1. So, there LCM is their product i.e 2277316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2277316

Therefore, the GCF of Fractions 8258/596,9642/3821 is 2/2277316

Least Common Multiple of 596,3821 with GCF Formula

Least Common Multiple of 596,3821 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 596,3821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,3821) = 1

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

GCF(596,3821) x common factors =1 x 1 = 1

LCM(596,3821) = ( 596 × 3821 ) / 1

LCM(596,3821) = 2277316 / 1

LCM(596,3821) = 2277316


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 8258/596, 9642/3821

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 8258/596, 9642/3821?

Answer: GCF of Numerators as per given numbers 8258/596, 9642/3821 is

GCF of Numerators i.e. for 8258,9642 is 2

LCM of denominators i.e. for 596,3821 is 2277316.

Thus, GCF of Fractions is 2/2277316.Finally, GCF of Fractions for 8258/596, 9642/3821 is 2/2277316.