Greatest Common Factor of 8674/187, 9349/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8674/187, 9349/858

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 8674/187,9349/858

Given fractions are 8674/187,9349/858

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 8674,9349

Greatest Common Factor of Numerators i.e. GCF of 8674,9349 is 1 .

LCM of Denominators means LCM of 187,858 as per the given fractions.

LCM of 187,858 is 14586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8674,9349

GCF of Fractions 8674/187,9349/858 is 1/14586

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

Greatest Common Factor of 8674,9349 By Matching Biggest Common Factor Method

Greatest Common Factor of 8674,9349 By Matching Biggest Common Factor Method

Factors of 8674

List of positive integer factors of 8674 that divides 8674 without a remainder.

1,2,4337,8674

Factors of 9349

List of positive integer factors of 9349 that divides 9349 without a remainder.

1,9349

Greatest Common Factor

We found the factors 8674,9349 . The biggest common factor number is the GCF number.
So the greatest common factor 8674,9349 is 1.

Lets's calculate LCM of 187,858

11 187, 858
17, 78

∴ So the LCM of the given numbers is 11 x 17 x 78 = 14586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14586

Therefore, the GCF of Fractions 8674/187,9349/858 is 1/14586

Least Common Multiple of 187,858 with GCF Formula

Least Common Multiple of 187,858 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 187,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,858) = 11

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

GCF(187,858) x common factors =11 x 1 = 11

LCM(187,858) = ( 187 × 858 ) / 11

LCM(187,858) = 160446 / 11

LCM(187,858) = 14586


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 8674/187, 9349/858

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 8674/187, 9349/858?

Answer: GCF of Numerators as per given numbers 8674/187, 9349/858 is

GCF of Numerators i.e. for 8674,9349 is 1

LCM of denominators i.e. for 187,858 is 14586.

Thus, GCF of Fractions is 1/14586.Finally, GCF of Fractions for 8674/187, 9349/858 is 1/14586.