Greatest Common Factor of 166/22, 261/77, 872/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 166/22, 261/77, 872/990

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 166/22,261/77,872/990

Given fractions are 166/22,261/77,872/990

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 166,261,872

Greatest Common Factor of Numerators i.e. GCF of 166,261,872 is 1 .

LCM of Denominators means LCM of 22,77,990 as per the given fractions.

LCM of 22,77,990 is 6930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 166,261,872

GCF of Fractions 166/22,261/77,872/990 is 1/6930

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

Greatest Common Factor of 166,261,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,261,872 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 166,261,872 . The biggest common factor number is the GCF number.
So the greatest common factor 166,261,872 is 1.

Lets's calculate LCM of 22,77,990

2 22, 77, 990
11 11, 77, 495
1, 7, 45

∴ So the LCM of the given numbers is 2 x 11 x 1 x 7 x 45 = 6930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6930

Therefore, the GCF of Fractions 166/22,261/77,872/990 is 1/6930

Least Common Multiple of 22,77,990 with GCF Formula

Least Common Multiple of 22,77,990 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 22,77,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,77,990) = 11

common factors(in case of two or more numbers have common factors) = 22

GCF(22,77,990) x common factors =11 x 22 = 242

LCM(22,77,990) = ( 22 × 77 × 990 ) / 242

LCM(22,77,990) = 1677060 / 242

LCM(22,77,990) = 6930


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 166/22, 261/77, 872/990

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 166/22, 261/77, 872/990?

Answer: GCF of Numerators as per given numbers 166/22, 261/77, 872/990 is

GCF of Numerators i.e. for 166,261,872 is 1

LCM of denominators i.e. for 22,77,990 is 6930.

Thus, GCF of Fractions is 1/6930.Finally, GCF of Fractions for 166/22, 261/77, 872/990 is 1/6930.