Greatest Common Factor of 9402/646, 8858/8107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9402/646, 8858/8107

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 9402/646,8858/8107

Given fractions are 9402/646,8858/8107

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 9402,8858

Greatest Common Factor of Numerators i.e. GCF of 9402,8858 is 2 .

LCM of Denominators means LCM of 646,8107 as per the given fractions.

LCM of 646,8107 is 5237122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9402,8858

GCF of Fractions 9402/646,8858/8107 is 2/5237122

2 9402, 8858
4701, 4429

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

Greatest Common Factor of 9402,8858 By Matching Biggest Common Factor Method

Greatest Common Factor of 9402,8858 By Matching Biggest Common Factor Method

Factors of 9402

List of positive integer factors of 9402 that divides 9402 without a remainder.

1,2,3,6,1567,3134,4701,9402

Factors of 8858

List of positive integer factors of 8858 that divides 8858 without a remainder.

1,2,43,86,103,206,4429,8858

Greatest Common Factor

We found the factors 9402,8858 . The biggest common factor number is the GCF number.
So the greatest common factor 9402,8858 is 2.


Lets's calculate LCM of 646,8107

Given numbers has no common factors except 1. So, there LCM is their product i.e 5237122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5237122

Therefore, the GCF of Fractions 9402/646,8858/8107 is 2/5237122

Least Common Multiple of 646,8107 with GCF Formula

Least Common Multiple of 646,8107 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 646,8107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,8107) = 1

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

GCF(646,8107) x common factors =1 x 1 = 1

LCM(646,8107) = ( 646 × 8107 ) / 1

LCM(646,8107) = 5237122 / 1

LCM(646,8107) = 5237122


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9402/646, 8858/8107

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 9402/646, 8858/8107?

Answer: GCF of Numerators as per given numbers 9402/646, 8858/8107 is

GCF of Numerators i.e. for 9402,8858 is 2

LCM of denominators i.e. for 646,8107 is 5237122.

Thus, GCF of Fractions is 2/5237122.Finally, GCF of Fractions for 9402/646, 8858/8107 is 2/5237122.