Greatest Common Factor of 168/189, 663/543, 801/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 168/189, 663/543, 801/946

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 168/189,663/543,801/946

Given fractions are 168/189,663/543,801/946

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 168,663,801

Greatest Common Factor of Numerators i.e. GCF of 168,663,801 is 3 .

LCM of Denominators means LCM of 189,543,946 as per the given fractions.

LCM of 189,543,946 is 32361714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 168,663,801

GCF of Fractions 168/189,663/543,801/946 is 3/32361714

3 168, 663, 801
56, 221, 267

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 168,663,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,663,801 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 168,663,801 . The biggest common factor number is the GCF number.
So the greatest common factor 168,663,801 is 3.

Lets's calculate LCM of 189,543,946

3 189, 543, 946
63, 181, 946

∴ So the LCM of the given numbers is 3 x 63 x 181 x 946 = 32361714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/32361714

Therefore, the GCF of Fractions 168/189,663/543,801/946 is 3/32361714

Least Common Multiple of 189,543,946 with GCF Formula

Least Common Multiple of 189,543,946 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 189,543,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,543,946) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(189,543,946) x common factors =1 x 3 = 3

LCM(189,543,946) = ( 189 × 543 × 946 ) / 3

LCM(189,543,946) = 97085142 / 3

LCM(189,543,946) = 32361714


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 168/189, 663/543, 801/946

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 168/189, 663/543, 801/946?

Answer: GCF of Numerators as per given numbers 168/189, 663/543, 801/946 is

GCF of Numerators i.e. for 168,663,801 is 3

LCM of denominators i.e. for 189,543,946 is 32361714.

Thus, GCF of Fractions is 3/32361714.Finally, GCF of Fractions for 168/189, 663/543, 801/946 is 3/32361714.