Greatest Common Factor of 2150/882, 9646/9422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2150/882, 9646/9422

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 2150/882,9646/9422

Given fractions are 2150/882,9646/9422

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 2150,9646

Greatest Common Factor of Numerators i.e. GCF of 2150,9646 is 2 .

LCM of Denominators means LCM of 882,9422 as per the given fractions.

LCM of 882,9422 is 593586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2150,9646

GCF of Fractions 2150/882,9646/9422 is 2/593586

2 2150, 9646
1075, 4823

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

Greatest Common Factor of 2150,9646 By Matching Biggest Common Factor Method

Greatest Common Factor of 2150,9646 By Matching Biggest Common Factor Method

Factors of 2150

List of positive integer factors of 2150 that divides 2150 without a remainder.

1,2,5,10,25,43,50,86,215,430,1075,2150

Factors of 9646

List of positive integer factors of 9646 that divides 9646 without a remainder.

1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646

Greatest Common Factor

We found the factors 2150,9646 . The biggest common factor number is the GCF number.
So the greatest common factor 2150,9646 is 2.

Lets's calculate LCM of 882,9422

2 882, 9422
7 441, 4711
63, 673

∴ So the LCM of the given numbers is 2 x 7 x 63 x 673 = 593586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/593586

Therefore, the GCF of Fractions 2150/882,9646/9422 is 2/593586

Least Common Multiple of 882,9422 with GCF Formula

Least Common Multiple of 882,9422 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 882,9422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,9422) = 14

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

GCF(882,9422) x common factors =14 x 1 = 14

LCM(882,9422) = ( 882 × 9422 ) / 14

LCM(882,9422) = 8310204 / 14

LCM(882,9422) = 593586


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 2150/882, 9646/9422

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 2150/882, 9646/9422?

Answer: GCF of Numerators as per given numbers 2150/882, 9646/9422 is

GCF of Numerators i.e. for 2150,9646 is 2

LCM of denominators i.e. for 882,9422 is 593586.

Thus, GCF of Fractions is 2/593586.Finally, GCF of Fractions for 2150/882, 9646/9422 is 2/593586.