Greatest Common Factor of 943/732, 291/742, 653/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 943/732, 291/742, 653/469

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 943/732,291/742,653/469

Given fractions are 943/732,291/742,653/469

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 943,291,653

Greatest Common Factor of Numerators i.e. GCF of 943,291,653 is 1 .

LCM of Denominators means LCM of 732,742,469 as per the given fractions.

LCM of 732,742,469 is 18195324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 943,291,653

GCF of Fractions 943/732,291/742,653/469 is 1/18195324

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

Greatest Common Factor of 943,291,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,291,653 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 943,291,653 . The biggest common factor number is the GCF number.
So the greatest common factor 943,291,653 is 1.

Lets's calculate LCM of 732,742,469

2 732, 742, 469
7 366, 371, 469
366, 53, 67

∴ So the LCM of the given numbers is 2 x 7 x 366 x 53 x 67 = 18195324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18195324

Therefore, the GCF of Fractions 943/732,291/742,653/469 is 1/18195324

Least Common Multiple of 732,742,469 with GCF Formula

Least Common Multiple of 732,742,469 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 732,742,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,742,469) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(732,742,469) x common factors =1 x 14 = 14

LCM(732,742,469) = ( 732 × 742 × 469 ) / 14

LCM(732,742,469) = 254734536 / 14

LCM(732,742,469) = 18195324


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 943/732, 291/742, 653/469

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 943/732, 291/742, 653/469?

Answer: GCF of Numerators as per given numbers 943/732, 291/742, 653/469 is

GCF of Numerators i.e. for 943,291,653 is 1

LCM of denominators i.e. for 732,742,469 is 18195324.

Thus, GCF of Fractions is 1/18195324.Finally, GCF of Fractions for 943/732, 291/742, 653/469 is 1/18195324.