Greatest Common Factor of 8380/61, 9314/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8380/61, 9314/168

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 8380/61,9314/168

Given fractions are 8380/61,9314/168

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 8380,9314

Greatest Common Factor of Numerators i.e. GCF of 8380,9314 is 2 .

LCM of Denominators means LCM of 61,168 as per the given fractions.

LCM of 61,168 is 10248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8380,9314

GCF of Fractions 8380/61,9314/168 is 2/10248

2 8380, 9314
4190, 4657

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

Greatest Common Factor of 8380,9314 By Matching Biggest Common Factor Method

Greatest Common Factor of 8380,9314 By Matching Biggest Common Factor Method

Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1,2,4,5,10,20,419,838,1676,2095,4190,8380

Factors of 9314

List of positive integer factors of 9314 that divides 9314 without a remainder.

1,2,4657,9314

Greatest Common Factor

We found the factors 8380,9314 . The biggest common factor number is the GCF number.
So the greatest common factor 8380,9314 is 2.

Lets's calculate LCM of 61,168

Given numbers has no common factors except 1. So, there LCM is their product i.e 10248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10248

Therefore, the GCF of Fractions 8380/61,9314/168 is 2/10248

Least Common Multiple of 61,168 with GCF Formula

Least Common Multiple of 61,168 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 61,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,168) = 1

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

GCF(61,168) x common factors =1 x 1 = 1

LCM(61,168) = ( 61 × 168 ) / 1

LCM(61,168) = 10248 / 1

LCM(61,168) = 10248


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 8380/61, 9314/168

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 8380/61, 9314/168?

Answer: GCF of Numerators as per given numbers 8380/61, 9314/168 is

GCF of Numerators i.e. for 8380,9314 is 2

LCM of denominators i.e. for 61,168 is 10248.

Thus, GCF of Fractions is 2/10248.Finally, GCF of Fractions for 8380/61, 9314/168 is 2/10248.