Greatest Common Factor of 8591/68, 7640/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8591/68, 7640/166

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 8591/68,7640/166

Given fractions are 8591/68,7640/166

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 8591,7640

Greatest Common Factor of Numerators i.e. GCF of 8591,7640 is 1 .

LCM of Denominators means LCM of 68,166 as per the given fractions.

LCM of 68,166 is 5644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8591,7640

GCF of Fractions 8591/68,7640/166 is 1/5644

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

Greatest Common Factor of 8591,7640 By Matching Biggest Common Factor Method

Greatest Common Factor of 8591,7640 By Matching Biggest Common Factor Method

Factors of 8591

List of positive integer factors of 8591 that divides 8591 without a remainder.

1,11,71,121,781,8591

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

Greatest Common Factor

We found the factors 8591,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 8591,7640 is 1.

Lets's calculate LCM of 68,166

2 68, 166
34, 83

∴ So the LCM of the given numbers is 2 x 34 x 83 = 5644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5644

Therefore, the GCF of Fractions 8591/68,7640/166 is 1/5644

Least Common Multiple of 68,166 with GCF Formula

Least Common Multiple of 68,166 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 68,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,166) = 2

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

GCF(68,166) x common factors =2 x 1 = 2

LCM(68,166) = ( 68 × 166 ) / 2

LCM(68,166) = 11288 / 2

LCM(68,166) = 5644


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 8591/68, 7640/166

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 8591/68, 7640/166?

Answer: GCF of Numerators as per given numbers 8591/68, 7640/166 is

GCF of Numerators i.e. for 8591,7640 is 1

LCM of denominators i.e. for 68,166 is 5644.

Thus, GCF of Fractions is 1/5644.Finally, GCF of Fractions for 8591/68, 7640/166 is 1/5644.