Greatest Common Factor of 867/12, 901/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 867/12, 901/926

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 867/12,901/926

Given fractions are 867/12,901/926

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 867,901

Greatest Common Factor of Numerators i.e. GCF of 867,901 is 17 .

LCM of Denominators means LCM of 12,926 as per the given fractions.

LCM of 12,926 is 5556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 867,901

GCF of Fractions 867/12,901/926 is 17/5556

17 867, 901
51, 53

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 867,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,901 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 867,901 . The biggest common factor number is the GCF number.
So the greatest common factor 867,901 is 17.

Lets's calculate LCM of 12,926

2 12, 926
6, 463

∴ So the LCM of the given numbers is 2 x 6 x 463 = 5556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/5556

Therefore, the GCF of Fractions 867/12,901/926 is 17/5556

Least Common Multiple of 12,926 with GCF Formula

Least Common Multiple of 12,926 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 12,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,926) = 2

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

GCF(12,926) x common factors =2 x 1 = 2

LCM(12,926) = ( 12 × 926 ) / 2

LCM(12,926) = 11112 / 2

LCM(12,926) = 5556


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 867/12, 901/926

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 867/12, 901/926?

Answer: GCF of Numerators as per given numbers 867/12, 901/926 is

GCF of Numerators i.e. for 867,901 is 17

LCM of denominators i.e. for 12,926 is 5556.

Thus, GCF of Fractions is 17/5556.Finally, GCF of Fractions for 867/12, 901/926 is 17/5556.