Greatest Common Factor of 3986/627, 1724/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3986/627, 1724/549

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 3986/627,1724/549

Given fractions are 3986/627,1724/549

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 3986,1724

Greatest Common Factor of Numerators i.e. GCF of 3986,1724 is 2 .

LCM of Denominators means LCM of 627,549 as per the given fractions.

LCM of 627,549 is 114741 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3986,1724

GCF of Fractions 3986/627,1724/549 is 2/114741

2 3986, 1724
1993, 862

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3986,1724 By Matching Biggest Common Factor Method

Greatest Common Factor of 3986,1724 By Matching Biggest Common Factor Method

Factors of 3986

List of positive integer factors of 3986 that divides 3986 without a remainder.

1,2,1993,3986

Factors of 1724

List of positive integer factors of 1724 that divides 1724 without a remainder.

1,2,4,431,862,1724

Greatest Common Factor

We found the factors 3986,1724 . The biggest common factor number is the GCF number.
So the greatest common factor 3986,1724 is 2.

Lets's calculate LCM of 627,549

3 627, 549
209, 183

∴ So the LCM of the given numbers is 3 x 209 x 183 = 114741

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114741

Therefore, the GCF of Fractions 3986/627,1724/549 is 2/114741

Least Common Multiple of 627,549 with GCF Formula

Least Common Multiple of 627,549 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 627,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,549) = 3

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

GCF(627,549) x common factors =3 x 1 = 3

LCM(627,549) = ( 627 × 549 ) / 3

LCM(627,549) = 344223 / 3

LCM(627,549) = 114741


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 3986/627, 1724/549

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 3986/627, 1724/549?

Answer: GCF of Numerators as per given numbers 3986/627, 1724/549 is

GCF of Numerators i.e. for 3986,1724 is 2

LCM of denominators i.e. for 627,549 is 114741.

Thus, GCF of Fractions is 2/114741.Finally, GCF of Fractions for 3986/627, 1724/549 is 2/114741.