Greatest Common Factor of 26/163, 8281/8717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/163, 8281/8717

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 26/163,8281/8717

Given fractions are 26/163,8281/8717

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 26,8281

Greatest Common Factor of Numerators i.e. GCF of 26,8281 is 13 .

LCM of Denominators means LCM of 163,8717 as per the given fractions.

LCM of 163,8717 is 1420871 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,8281

GCF of Fractions 26/163,8281/8717 is 13/1420871

13 26, 8281
2, 637

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 26,8281 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,8281 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 8281

List of positive integer factors of 8281 that divides 8281 without a remainder.

1,7,13,49,91,169,637,1183,8281

Greatest Common Factor

We found the factors 26,8281 . The biggest common factor number is the GCF number.
So the greatest common factor 26,8281 is 13.

Lets's calculate LCM of 163,8717

Given numbers has no common factors except 1. So, there LCM is their product i.e 1420871

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1420871

Therefore, the GCF of Fractions 26/163,8281/8717 is 13/1420871

Least Common Multiple of 163,8717 with GCF Formula

Least Common Multiple of 163,8717 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 163,8717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,8717) = 1

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

GCF(163,8717) x common factors =1 x 1 = 1

LCM(163,8717) = ( 163 × 8717 ) / 1

LCM(163,8717) = 1420871 / 1

LCM(163,8717) = 1420871


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 26/163, 8281/8717

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 26/163, 8281/8717?

Answer: GCF of Numerators as per given numbers 26/163, 8281/8717 is

GCF of Numerators i.e. for 26,8281 is 13

LCM of denominators i.e. for 163,8717 is 1420871.

Thus, GCF of Fractions is 13/1420871.Finally, GCF of Fractions for 26/163, 8281/8717 is 13/1420871.