Greatest Common Factor of 8322/916, 3680/8986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8322/916, 3680/8986

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 8322/916,3680/8986

Given fractions are 8322/916,3680/8986

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 8322,3680

Greatest Common Factor of Numerators i.e. GCF of 8322,3680 is 2 .

LCM of Denominators means LCM of 916,8986 as per the given fractions.

LCM of 916,8986 is 4115588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8322,3680

GCF of Fractions 8322/916,3680/8986 is 2/4115588

2 8322, 3680
4161, 1840

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8322,3680 By Matching Biggest Common Factor Method

Greatest Common Factor of 8322,3680 By Matching Biggest Common Factor Method

Factors of 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322

Factors of 3680

List of positive integer factors of 3680 that divides 3680 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,80,92,115,160,184,230,368,460,736,920,1840,3680

Greatest Common Factor

We found the factors 8322,3680 . The biggest common factor number is the GCF number.
So the greatest common factor 8322,3680 is 2.

Lets's calculate LCM of 916,8986

2 916, 8986
458, 4493

∴ So the LCM of the given numbers is 2 x 458 x 4493 = 4115588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4115588

Therefore, the GCF of Fractions 8322/916,3680/8986 is 2/4115588

Least Common Multiple of 916,8986 with GCF Formula

Least Common Multiple of 916,8986 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 916,8986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,8986) = 2

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

GCF(916,8986) x common factors =2 x 1 = 2

LCM(916,8986) = ( 916 × 8986 ) / 2

LCM(916,8986) = 8231176 / 2

LCM(916,8986) = 4115588


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 8322/916, 3680/8986

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 8322/916, 3680/8986?

Answer: GCF of Numerators as per given numbers 8322/916, 3680/8986 is

GCF of Numerators i.e. for 8322,3680 is 2

LCM of denominators i.e. for 916,8986 is 4115588.

Thus, GCF of Fractions is 2/4115588.Finally, GCF of Fractions for 8322/916, 3680/8986 is 2/4115588.