Greatest Common Factor of 2158/843, 6170/9478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2158/843, 6170/9478

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 2158/843,6170/9478

Given fractions are 2158/843,6170/9478

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 2158,6170

Greatest Common Factor of Numerators i.e. GCF of 2158,6170 is 2 .

LCM of Denominators means LCM of 843,9478 as per the given fractions.

LCM of 843,9478 is 7989954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2158,6170

GCF of Fractions 2158/843,6170/9478 is 2/7989954

2 2158, 6170
1079, 3085

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

Greatest Common Factor of 2158,6170 By Matching Biggest Common Factor Method

Greatest Common Factor of 2158,6170 By Matching Biggest Common Factor Method

Factors of 2158

List of positive integer factors of 2158 that divides 2158 without a remainder.

1,2,13,26,83,166,1079,2158

Factors of 6170

List of positive integer factors of 6170 that divides 6170 without a remainder.

1,2,5,10,617,1234,3085,6170

Greatest Common Factor

We found the factors 2158,6170 . The biggest common factor number is the GCF number.
So the greatest common factor 2158,6170 is 2.

Lets's calculate LCM of 843,9478

Given numbers has no common factors except 1. So, there LCM is their product i.e 7989954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7989954

Therefore, the GCF of Fractions 2158/843,6170/9478 is 2/7989954

Least Common Multiple of 843,9478 with GCF Formula

Least Common Multiple of 843,9478 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 843,9478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,9478) = 1

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

GCF(843,9478) x common factors =1 x 1 = 1

LCM(843,9478) = ( 843 × 9478 ) / 1

LCM(843,9478) = 7989954 / 1

LCM(843,9478) = 7989954


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 2158/843, 6170/9478

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 2158/843, 6170/9478?

Answer: GCF of Numerators as per given numbers 2158/843, 6170/9478 is

GCF of Numerators i.e. for 2158,6170 is 2

LCM of denominators i.e. for 843,9478 is 7989954.

Thus, GCF of Fractions is 2/7989954.Finally, GCF of Fractions for 2158/843, 6170/9478 is 2/7989954.