Greatest Common Factor of 3867/187, 5627/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3867/187, 5627/697

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 3867/187,5627/697

Given fractions are 3867/187,5627/697

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 3867,5627

Greatest Common Factor of Numerators i.e. GCF of 3867,5627 is 1 .

LCM of Denominators means LCM of 187,697 as per the given fractions.

LCM of 187,697 is 7667 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3867,5627

GCF of Fractions 3867/187,5627/697 is 1/7667

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

Greatest Common Factor of 3867,5627 By Matching Biggest Common Factor Method

Greatest Common Factor of 3867,5627 By Matching Biggest Common Factor Method

Factors of 3867

List of positive integer factors of 3867 that divides 3867 without a remainder.

1,3,1289,3867

Factors of 5627

List of positive integer factors of 5627 that divides 5627 without a remainder.

1,17,331,5627

Greatest Common Factor

We found the factors 3867,5627 . The biggest common factor number is the GCF number.
So the greatest common factor 3867,5627 is 1.

Lets's calculate LCM of 187,697

17 187, 697
11, 41

∴ So the LCM of the given numbers is 17 x 11 x 41 = 7667

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7667

Therefore, the GCF of Fractions 3867/187,5627/697 is 1/7667

Least Common Multiple of 187,697 with GCF Formula

Least Common Multiple of 187,697 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 187,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,697) = 17

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

GCF(187,697) x common factors =17 x 1 = 17

LCM(187,697) = ( 187 × 697 ) / 17

LCM(187,697) = 130339 / 17

LCM(187,697) = 7667


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 3867/187, 5627/697

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 3867/187, 5627/697?

Answer: GCF of Numerators as per given numbers 3867/187, 5627/697 is

GCF of Numerators i.e. for 3867,5627 is 1

LCM of denominators i.e. for 187,697 is 7667.

Thus, GCF of Fractions is 1/7667.Finally, GCF of Fractions for 3867/187, 5627/697 is 1/7667.