Greatest Common Factor of 1787/517, 7647/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1787/517, 7647/893

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 1787/517,7647/893

Given fractions are 1787/517,7647/893

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 1787,7647

Greatest Common Factor of Numerators i.e. GCF of 1787,7647 is 1 .

LCM of Denominators means LCM of 517,893 as per the given fractions.

LCM of 517,893 is 9823 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1787,7647

GCF of Fractions 1787/517,7647/893 is 1/9823

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

Greatest Common Factor of 1787,7647 By Matching Biggest Common Factor Method

Greatest Common Factor of 1787,7647 By Matching Biggest Common Factor Method

Factors of 1787

List of positive integer factors of 1787 that divides 1787 without a remainder.

1,1787

Factors of 7647

List of positive integer factors of 7647 that divides 7647 without a remainder.

1,3,2549,7647

Greatest Common Factor

We found the factors 1787,7647 . The biggest common factor number is the GCF number.
So the greatest common factor 1787,7647 is 1.

Lets's calculate LCM of 517,893

47 517, 893
11, 19

∴ So the LCM of the given numbers is 47 x 11 x 19 = 9823

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9823

Therefore, the GCF of Fractions 1787/517,7647/893 is 1/9823

Least Common Multiple of 517,893 with GCF Formula

Least Common Multiple of 517,893 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 517,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,893) = 47

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

GCF(517,893) x common factors =47 x 1 = 47

LCM(517,893) = ( 517 × 893 ) / 47

LCM(517,893) = 461681 / 47

LCM(517,893) = 9823


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 1787/517, 7647/893

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 1787/517, 7647/893?

Answer: GCF of Numerators as per given numbers 1787/517, 7647/893 is

GCF of Numerators i.e. for 1787,7647 is 1

LCM of denominators i.e. for 517,893 is 9823.

Thus, GCF of Fractions is 1/9823.Finally, GCF of Fractions for 1787/517, 7647/893 is 1/9823.