Greatest Common Factor of 8211/870, 3654/6746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8211/870, 3654/6746

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 8211/870,3654/6746

Given fractions are 8211/870,3654/6746

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 8211,3654

Greatest Common Factor of Numerators i.e. GCF of 8211,3654 is 21 .

LCM of Denominators means LCM of 870,6746 as per the given fractions.

LCM of 870,6746 is 2934510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8211,3654

GCF of Fractions 8211/870,3654/6746 is 21/2934510

3 8211, 3654
7 2737, 1218
391, 174

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 8211,3654 By Matching Biggest Common Factor Method

Greatest Common Factor of 8211,3654 By Matching Biggest Common Factor Method

Factors of 8211

List of positive integer factors of 8211 that divides 8211 without a remainder.

1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654

Greatest Common Factor

We found the factors 8211,3654 . The biggest common factor number is the GCF number.
So the greatest common factor 8211,3654 is 21.

Lets's calculate LCM of 870,6746

2 870, 6746
435, 3373

∴ So the LCM of the given numbers is 2 x 435 x 3373 = 2934510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/2934510

Therefore, the GCF of Fractions 8211/870,3654/6746 is 21/2934510

Least Common Multiple of 870,6746 with GCF Formula

Least Common Multiple of 870,6746 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 870,6746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,6746) = 2

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

GCF(870,6746) x common factors =2 x 1 = 2

LCM(870,6746) = ( 870 × 6746 ) / 2

LCM(870,6746) = 5869020 / 2

LCM(870,6746) = 2934510


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 8211/870, 3654/6746

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 8211/870, 3654/6746?

Answer: GCF of Numerators as per given numbers 8211/870, 3654/6746 is

GCF of Numerators i.e. for 8211,3654 is 21

LCM of denominators i.e. for 870,6746 is 2934510.

Thus, GCF of Fractions is 21/2934510.Finally, GCF of Fractions for 8211/870, 3654/6746 is 21/2934510.