Greatest Common Factor of 3364/960, 8206/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3364/960, 8206/715

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 3364/960,8206/715

Given fractions are 3364/960,8206/715

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 3364,8206

Greatest Common Factor of Numerators i.e. GCF of 3364,8206 is 2 .

LCM of Denominators means LCM of 960,715 as per the given fractions.

LCM of 960,715 is 137280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3364,8206

GCF of Fractions 3364/960,8206/715 is 2/137280

2 3364, 8206
1682, 4103

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

Greatest Common Factor of 3364,8206 By Matching Biggest Common Factor Method

Greatest Common Factor of 3364,8206 By Matching Biggest Common Factor Method

Factors of 3364

List of positive integer factors of 3364 that divides 3364 without a remainder.

1,2,4,29,58,116,841,1682,3364

Factors of 8206

List of positive integer factors of 8206 that divides 8206 without a remainder.

1,2,11,22,373,746,4103,8206

Greatest Common Factor

We found the factors 3364,8206 . The biggest common factor number is the GCF number.
So the greatest common factor 3364,8206 is 2.

Lets's calculate LCM of 960,715

5 960, 715
192, 143

∴ So the LCM of the given numbers is 5 x 192 x 143 = 137280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137280

Therefore, the GCF of Fractions 3364/960,8206/715 is 2/137280

Least Common Multiple of 960,715 with GCF Formula

Least Common Multiple of 960,715 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 960,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,715) = 5

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

GCF(960,715) x common factors =5 x 1 = 5

LCM(960,715) = ( 960 × 715 ) / 5

LCM(960,715) = 686400 / 5

LCM(960,715) = 137280


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 3364/960, 8206/715

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 3364/960, 8206/715?

Answer: GCF of Numerators as per given numbers 3364/960, 8206/715 is

GCF of Numerators i.e. for 3364,8206 is 2

LCM of denominators i.e. for 960,715 is 137280.

Thus, GCF of Fractions is 2/137280.Finally, GCF of Fractions for 3364/960, 8206/715 is 2/137280.