Greatest Common Factor of 6098/376, 9670/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6098/376, 9670/167

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 6098/376,9670/167

Given fractions are 6098/376,9670/167

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 6098,9670

Greatest Common Factor of Numerators i.e. GCF of 6098,9670 is 2 .

LCM of Denominators means LCM of 376,167 as per the given fractions.

LCM of 376,167 is 62792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6098,9670

GCF of Fractions 6098/376,9670/167 is 2/62792

2 6098, 9670
3049, 4835

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

Greatest Common Factor of 6098,9670 By Matching Biggest Common Factor Method

Greatest Common Factor of 6098,9670 By Matching Biggest Common Factor Method

Factors of 6098

List of positive integer factors of 6098 that divides 6098 without a remainder.

1,2,3049,6098

Factors of 9670

List of positive integer factors of 9670 that divides 9670 without a remainder.

1,2,5,10,967,1934,4835,9670

Greatest Common Factor

We found the factors 6098,9670 . The biggest common factor number is the GCF number.
So the greatest common factor 6098,9670 is 2.

Lets's calculate LCM of 376,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 62792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62792

Therefore, the GCF of Fractions 6098/376,9670/167 is 2/62792

Least Common Multiple of 376,167 with GCF Formula

Least Common Multiple of 376,167 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 376,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,167) = 1

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

GCF(376,167) x common factors =1 x 1 = 1

LCM(376,167) = ( 376 × 167 ) / 1

LCM(376,167) = 62792 / 1

LCM(376,167) = 62792


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 6098/376, 9670/167

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 6098/376, 9670/167?

Answer: GCF of Numerators as per given numbers 6098/376, 9670/167 is

GCF of Numerators i.e. for 6098,9670 is 2

LCM of denominators i.e. for 376,167 is 62792.

Thus, GCF of Fractions is 2/62792.Finally, GCF of Fractions for 6098/376, 9670/167 is 2/62792.