Greatest Common Factor of 43/651, 70/536, 589/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/651, 70/536, 589/174

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 43/651,70/536,589/174

Given fractions are 43/651,70/536,589/174

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 43,70,589

Greatest Common Factor of Numerators i.e. GCF of 43,70,589 is 1 .

LCM of Denominators means LCM of 651,536,174 as per the given fractions.

LCM of 651,536,174 is 10119144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,70,589

GCF of Fractions 43/651,70/536,589/174 is 1/10119144

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

Greatest Common Factor of 43,70,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,70,589 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 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 43,70,589 . The biggest common factor number is the GCF number.
So the greatest common factor 43,70,589 is 1.

Lets's calculate LCM of 651,536,174

2 651, 536, 174
3 651, 268, 87
217, 268, 29

∴ So the LCM of the given numbers is 2 x 3 x 217 x 268 x 29 = 10119144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10119144

Therefore, the GCF of Fractions 43/651,70/536,589/174 is 1/10119144

Least Common Multiple of 651,536,174 with GCF Formula

Least Common Multiple of 651,536,174 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 651,536,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,536,174) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(651,536,174) x common factors =1 x 6 = 6

LCM(651,536,174) = ( 651 × 536 × 174 ) / 6

LCM(651,536,174) = 60714864 / 6

LCM(651,536,174) = 10119144


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 43/651, 70/536, 589/174

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 43/651, 70/536, 589/174?

Answer: GCF of Numerators as per given numbers 43/651, 70/536, 589/174 is

GCF of Numerators i.e. for 43,70,589 is 1

LCM of denominators i.e. for 651,536,174 is 10119144.

Thus, GCF of Fractions is 1/10119144.Finally, GCF of Fractions for 43/651, 70/536, 589/174 is 1/10119144.