Greatest Common Factor of 299/618, 8370/7163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/618, 8370/7163

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 299/618,8370/7163

Given fractions are 299/618,8370/7163

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 299,8370

Greatest Common Factor of Numerators i.e. GCF of 299,8370 is 1 .

LCM of Denominators means LCM of 618,7163 as per the given fractions.

LCM of 618,7163 is 4426734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,8370

GCF of Fractions 299/618,8370/7163 is 1/4426734

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 299,8370 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,8370 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 8370

List of positive integer factors of 8370 that divides 8370 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370

Greatest Common Factor

We found the factors 299,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 299,8370 is 1.

Lets's calculate LCM of 618,7163

Given numbers has no common factors except 1. So, there LCM is their product i.e 4426734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4426734

Therefore, the GCF of Fractions 299/618,8370/7163 is 1/4426734

Least Common Multiple of 618,7163 with GCF Formula

Least Common Multiple of 618,7163 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 618,7163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,7163) = 1

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

GCF(618,7163) x common factors =1 x 1 = 1

LCM(618,7163) = ( 618 × 7163 ) / 1

LCM(618,7163) = 4426734 / 1

LCM(618,7163) = 4426734


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 299/618, 8370/7163

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 299/618, 8370/7163?

Answer: GCF of Numerators as per given numbers 299/618, 8370/7163 is

GCF of Numerators i.e. for 299,8370 is 1

LCM of denominators i.e. for 618,7163 is 4426734.

Thus, GCF of Fractions is 1/4426734.Finally, GCF of Fractions for 299/618, 8370/7163 is 1/4426734.