Greatest Common Factor of 843/73, 686/54, 661/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 843/73, 686/54, 661/328

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 843/73,686/54,661/328

Given fractions are 843/73,686/54,661/328

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 843,686,661

Greatest Common Factor of Numerators i.e. GCF of 843,686,661 is 1 .

LCM of Denominators means LCM of 73,54,328 as per the given fractions.

LCM of 73,54,328 is 646488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 843,686,661

GCF of Fractions 843/73,686/54,661/328 is 1/646488

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

Greatest Common Factor of 843,686,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,686,661 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 843,686,661 . The biggest common factor number is the GCF number.
So the greatest common factor 843,686,661 is 1.

Lets's calculate LCM of 73,54,328

2 73, 54, 328
73, 27, 164

∴ So the LCM of the given numbers is 2 x 73 x 27 x 164 = 646488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/646488

Therefore, the GCF of Fractions 843/73,686/54,661/328 is 1/646488

Least Common Multiple of 73,54,328 with GCF Formula

Least Common Multiple of 73,54,328 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 73,54,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,54,328) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,54,328) x common factors =1 x 2 = 2

LCM(73,54,328) = ( 73 × 54 × 328 ) / 2

LCM(73,54,328) = 1292976 / 2

LCM(73,54,328) = 646488


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 843/73, 686/54, 661/328

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 843/73, 686/54, 661/328?

Answer: GCF of Numerators as per given numbers 843/73, 686/54, 661/328 is

GCF of Numerators i.e. for 843,686,661 is 1

LCM of denominators i.e. for 73,54,328 is 646488.

Thus, GCF of Fractions is 1/646488.Finally, GCF of Fractions for 843/73, 686/54, 661/328 is 1/646488.