Greatest Common Factor of 647/41, 527/42, 369/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 647/41, 527/42, 369/867

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 647/41,527/42,369/867

Given fractions are 647/41,527/42,369/867

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 647,527,369

Greatest Common Factor of Numerators i.e. GCF of 647,527,369 is 1 .

LCM of Denominators means LCM of 41,42,867 as per the given fractions.

LCM of 41,42,867 is 497658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 647,527,369

GCF of Fractions 647/41,527/42,369/867 is 1/497658

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

Greatest Common Factor of 647,527,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,527,369 By Matching Biggest Common Factor Method

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 647,527,369 . The biggest common factor number is the GCF number.
So the greatest common factor 647,527,369 is 1.

Lets's calculate LCM of 41,42,867

3 41, 42, 867
41, 14, 289

∴ So the LCM of the given numbers is 3 x 41 x 14 x 289 = 497658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497658

Therefore, the GCF of Fractions 647/41,527/42,369/867 is 1/497658

Least Common Multiple of 41,42,867 with GCF Formula

Least Common Multiple of 41,42,867 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 41,42,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,42,867) = 1

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

GCF(41,42,867) x common factors =1 x 3 = 3

LCM(41,42,867) = ( 41 × 42 × 867 ) / 3

LCM(41,42,867) = 1492974 / 3

LCM(41,42,867) = 497658


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 647/41, 527/42, 369/867

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 647/41, 527/42, 369/867?

Answer: GCF of Numerators as per given numbers 647/41, 527/42, 369/867 is

GCF of Numerators i.e. for 647,527,369 is 1

LCM of denominators i.e. for 41,42,867 is 497658.

Thus, GCF of Fractions is 1/497658.Finally, GCF of Fractions for 647/41, 527/42, 369/867 is 1/497658.