Greatest Common Factor of 159/808, 884/988, 861/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 159/808, 884/988, 861/672

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 159/808,884/988,861/672

Given fractions are 159/808,884/988,861/672

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 159,884,861

Greatest Common Factor of Numerators i.e. GCF of 159,884,861 is 1 .

LCM of Denominators means LCM of 808,988,672 as per the given fractions.

LCM of 808,988,672 is 16764384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 159,884,861

GCF of Fractions 159/808,884/988,861/672 is 1/16764384

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

Greatest Common Factor of 159,884,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,884,861 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 159,884,861 . The biggest common factor number is the GCF number.
So the greatest common factor 159,884,861 is 1.

Lets's calculate LCM of 808,988,672

2 808, 988, 672
2 404, 494, 336
2 202, 247, 168
101, 247, 84

∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 247 x 84 = 16764384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16764384

Therefore, the GCF of Fractions 159/808,884/988,861/672 is 1/16764384

Least Common Multiple of 808,988,672 with GCF Formula

Least Common Multiple of 808,988,672 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 808,988,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,988,672) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(808,988,672) x common factors =4 x 8 = 32

LCM(808,988,672) = ( 808 × 988 × 672 ) / 32

LCM(808,988,672) = 536460288 / 32

LCM(808,988,672) = 16764384


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 159/808, 884/988, 861/672

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 159/808, 884/988, 861/672?

Answer: GCF of Numerators as per given numbers 159/808, 884/988, 861/672 is

GCF of Numerators i.e. for 159,884,861 is 1

LCM of denominators i.e. for 808,988,672 is 16764384.

Thus, GCF of Fractions is 1/16764384.Finally, GCF of Fractions for 159/808, 884/988, 861/672 is 1/16764384.