Greatest Common Factor of 8211/42, 8722/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8211/42, 8722/164

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 8211/42,8722/164

Given fractions are 8211/42,8722/164

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 8211,8722

Greatest Common Factor of Numerators i.e. GCF of 8211,8722 is 7 .

LCM of Denominators means LCM of 42,164 as per the given fractions.

LCM of 42,164 is 3444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8211,8722

GCF of Fractions 8211/42,8722/164 is 7/3444

7 8211, 8722
1173, 1246

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8211,8722 By Matching Biggest Common Factor Method

Greatest Common Factor of 8211,8722 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 8722

List of positive integer factors of 8722 that divides 8722 without a remainder.

1,2,7,14,49,89,98,178,623,1246,4361,8722

Greatest Common Factor

We found the factors 8211,8722 . The biggest common factor number is the GCF number.
So the greatest common factor 8211,8722 is 7.

Lets's calculate LCM of 42,164

2 42, 164
21, 82

∴ So the LCM of the given numbers is 2 x 21 x 82 = 3444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3444

Therefore, the GCF of Fractions 8211/42,8722/164 is 7/3444

Least Common Multiple of 42,164 with GCF Formula

Least Common Multiple of 42,164 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 42,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,164) = 2

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

GCF(42,164) x common factors =2 x 1 = 2

LCM(42,164) = ( 42 × 164 ) / 2

LCM(42,164) = 6888 / 2

LCM(42,164) = 3444


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 8211/42, 8722/164

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 8211/42, 8722/164?

Answer: GCF of Numerators as per given numbers 8211/42, 8722/164 is

GCF of Numerators i.e. for 8211,8722 is 7

LCM of denominators i.e. for 42,164 is 3444.

Thus, GCF of Fractions is 7/3444.Finally, GCF of Fractions for 8211/42, 8722/164 is 7/3444.