Greatest Common Factor of 651/38, 591/27, 414/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 651/38, 591/27, 414/501

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 651/38,591/27,414/501

Given fractions are 651/38,591/27,414/501

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 651,591,414

Greatest Common Factor of Numerators i.e. GCF of 651,591,414 is 3 .

LCM of Denominators means LCM of 38,27,501 as per the given fractions.

LCM of 38,27,501 is 171342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 651,591,414

GCF of Fractions 651/38,591/27,414/501 is 3/171342

3 651, 591, 414
217, 197, 138

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

Greatest Common Factor of 651,591,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,591,414 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 651,591,414 . The biggest common factor number is the GCF number.
So the greatest common factor 651,591,414 is 3.

Lets's calculate LCM of 38,27,501

3 38, 27, 501
38, 9, 167

∴ So the LCM of the given numbers is 3 x 38 x 9 x 167 = 171342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/171342

Therefore, the GCF of Fractions 651/38,591/27,414/501 is 3/171342

Least Common Multiple of 38,27,501 with GCF Formula

Least Common Multiple of 38,27,501 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 38,27,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,27,501) = 1

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

GCF(38,27,501) x common factors =1 x 3 = 3

LCM(38,27,501) = ( 38 × 27 × 501 ) / 3

LCM(38,27,501) = 514026 / 3

LCM(38,27,501) = 171342


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 651/38, 591/27, 414/501

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 651/38, 591/27, 414/501?

Answer: GCF of Numerators as per given numbers 651/38, 591/27, 414/501 is

GCF of Numerators i.e. for 651,591,414 is 3

LCM of denominators i.e. for 38,27,501 is 171342.

Thus, GCF of Fractions is 3/171342.Finally, GCF of Fractions for 651/38, 591/27, 414/501 is 3/171342.