Greatest Common Factor of 331/684, 8417/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 331/684, 8417/894

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 331/684,8417/894

Given fractions are 331/684,8417/894

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 331,8417

Greatest Common Factor of Numerators i.e. GCF of 331,8417 is 1 .

LCM of Denominators means LCM of 684,894 as per the given fractions.

LCM of 684,894 is 101916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 331,8417

GCF of Fractions 331/684,8417/894 is 1/101916

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

Greatest Common Factor of 331,8417 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,8417 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 8417

List of positive integer factors of 8417 that divides 8417 without a remainder.

1,19,443,8417

Greatest Common Factor

We found the factors 331,8417 . The biggest common factor number is the GCF number.
So the greatest common factor 331,8417 is 1.

Lets's calculate LCM of 684,894

2 684, 894
3 342, 447
114, 149

∴ So the LCM of the given numbers is 2 x 3 x 114 x 149 = 101916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101916

Therefore, the GCF of Fractions 331/684,8417/894 is 1/101916

Least Common Multiple of 684,894 with GCF Formula

Least Common Multiple of 684,894 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 684,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,894) = 6

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

GCF(684,894) x common factors =6 x 1 = 6

LCM(684,894) = ( 684 × 894 ) / 6

LCM(684,894) = 611496 / 6

LCM(684,894) = 101916


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 331/684, 8417/894

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 331/684, 8417/894?

Answer: GCF of Numerators as per given numbers 331/684, 8417/894 is

GCF of Numerators i.e. for 331,8417 is 1

LCM of denominators i.e. for 684,894 is 101916.

Thus, GCF of Fractions is 1/101916.Finally, GCF of Fractions for 331/684, 8417/894 is 1/101916.