Greatest Common Factor of 43/73, 911/41, 609/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/73, 911/41, 609/688

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 43/73,911/41,609/688

Given fractions are 43/73,911/41,609/688

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 43,911,609

Greatest Common Factor of Numerators i.e. GCF of 43,911,609 is 1 .

LCM of Denominators means LCM of 73,41,688 as per the given fractions.

LCM of 73,41,688 is 2059184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,911,609

GCF of Fractions 43/73,911/41,609/688 is 1/2059184

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

Greatest Common Factor of 43,911,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,911,609 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 43,911,609 . The biggest common factor number is the GCF number.
So the greatest common factor 43,911,609 is 1.

Lets's calculate LCM of 73,41,688

Given numbers has no common factors except 1. So, there LCM is their product i.e 2059184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2059184

Therefore, the GCF of Fractions 43/73,911/41,609/688 is 1/2059184

Least Common Multiple of 73,41,688 with GCF Formula

Least Common Multiple of 73,41,688 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 73,41,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,41,688) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(73,41,688) x common factors =1 x 1 = 1

LCM(73,41,688) = ( 73 × 41 × 688 ) / 1

LCM(73,41,688) = 2059184 / 1

LCM(73,41,688) = 2059184


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 43/73, 911/41, 609/688

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 43/73, 911/41, 609/688?

Answer: GCF of Numerators as per given numbers 43/73, 911/41, 609/688 is

GCF of Numerators i.e. for 43,911,609 is 1

LCM of denominators i.e. for 73,41,688 is 2059184.

Thus, GCF of Fractions is 1/2059184.Finally, GCF of Fractions for 43/73, 911/41, 609/688 is 1/2059184.