Greatest Common Factor of 8361/107, 7169/8586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8361/107, 7169/8586

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 8361/107,7169/8586

Given fractions are 8361/107,7169/8586

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 8361,7169

Greatest Common Factor of Numerators i.e. GCF of 8361,7169 is 1 .

LCM of Denominators means LCM of 107,8586 as per the given fractions.

LCM of 107,8586 is 918702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8361,7169

GCF of Fractions 8361/107,7169/8586 is 1/918702

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

Greatest Common Factor of 8361,7169 By Matching Biggest Common Factor Method

Greatest Common Factor of 8361,7169 By Matching Biggest Common Factor Method

Factors of 8361

List of positive integer factors of 8361 that divides 8361 without a remainder.

1,3,9,929,2787,8361

Factors of 7169

List of positive integer factors of 7169 that divides 7169 without a remainder.

1,67,107,7169

Greatest Common Factor

We found the factors 8361,7169 . The biggest common factor number is the GCF number.
So the greatest common factor 8361,7169 is 1.

Lets's calculate LCM of 107,8586

Given numbers has no common factors except 1. So, there LCM is their product i.e 918702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/918702

Therefore, the GCF of Fractions 8361/107,7169/8586 is 1/918702

Least Common Multiple of 107,8586 with GCF Formula

Least Common Multiple of 107,8586 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 107,8586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,8586) = 1

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

GCF(107,8586) x common factors =1 x 1 = 1

LCM(107,8586) = ( 107 × 8586 ) / 1

LCM(107,8586) = 918702 / 1

LCM(107,8586) = 918702


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 8361/107, 7169/8586

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 8361/107, 7169/8586?

Answer: GCF of Numerators as per given numbers 8361/107, 7169/8586 is

GCF of Numerators i.e. for 8361,7169 is 1

LCM of denominators i.e. for 107,8586 is 918702.

Thus, GCF of Fractions is 1/918702.Finally, GCF of Fractions for 8361/107, 7169/8586 is 1/918702.