Greatest Common Factor of 403/89, 868/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 403/89, 868/894

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 403/89,868/894

Given fractions are 403/89,868/894

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 403,868

Greatest Common Factor of Numerators i.e. GCF of 403,868 is 31 .

LCM of Denominators means LCM of 89,894 as per the given fractions.

LCM of 89,894 is 79566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 403,868

GCF of Fractions 403/89,868/894 is 31/79566

31 403, 868
13, 28

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 403,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,868 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 403,868 . The biggest common factor number is the GCF number.
So the greatest common factor 403,868 is 31.

Lets's calculate LCM of 89,894

Given numbers has no common factors except 1. So, there LCM is their product i.e 79566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/79566

Therefore, the GCF of Fractions 403/89,868/894 is 31/79566

Least Common Multiple of 89,894 with GCF Formula

Least Common Multiple of 89,894 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 89,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,894) = 1

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

GCF(89,894) x common factors =1 x 1 = 1

LCM(89,894) = ( 89 × 894 ) / 1

LCM(89,894) = 79566 / 1

LCM(89,894) = 79566


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 403/89, 868/894

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 403/89, 868/894?

Answer: GCF of Numerators as per given numbers 403/89, 868/894 is

GCF of Numerators i.e. for 403,868 is 31

LCM of denominators i.e. for 89,894 is 79566.

Thus, GCF of Fractions is 31/79566.Finally, GCF of Fractions for 403/89, 868/894 is 31/79566.