Greatest Common Factor of 4143/665, 4527/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4143/665, 4527/997

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 4143/665,4527/997

Given fractions are 4143/665,4527/997

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 4143,4527

Greatest Common Factor of Numerators i.e. GCF of 4143,4527 is 3 .

LCM of Denominators means LCM of 665,997 as per the given fractions.

LCM of 665,997 is 663005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4143,4527

GCF of Fractions 4143/665,4527/997 is 3/663005

3 4143, 4527
1381, 1509

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

Greatest Common Factor of 4143,4527 By Matching Biggest Common Factor Method

Greatest Common Factor of 4143,4527 By Matching Biggest Common Factor Method

Factors of 4143

List of positive integer factors of 4143 that divides 4143 without a remainder.

1,3,1381,4143

Factors of 4527

List of positive integer factors of 4527 that divides 4527 without a remainder.

1,3,9,503,1509,4527

Greatest Common Factor

We found the factors 4143,4527 . The biggest common factor number is the GCF number.
So the greatest common factor 4143,4527 is 3.

Lets's calculate LCM of 665,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 663005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/663005

Therefore, the GCF of Fractions 4143/665,4527/997 is 3/663005

Least Common Multiple of 665,997 with GCF Formula

Least Common Multiple of 665,997 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 665,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,997) = 1

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

GCF(665,997) x common factors =1 x 1 = 1

LCM(665,997) = ( 665 × 997 ) / 1

LCM(665,997) = 663005 / 1

LCM(665,997) = 663005


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 4143/665, 4527/997

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 4143/665, 4527/997?

Answer: GCF of Numerators as per given numbers 4143/665, 4527/997 is

GCF of Numerators i.e. for 4143,4527 is 3

LCM of denominators i.e. for 665,997 is 663005.

Thus, GCF of Fractions is 3/663005.Finally, GCF of Fractions for 4143/665, 4527/997 is 3/663005.