Greatest Common Factor of 4446/668, 1629/8137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4446/668, 1629/8137

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 4446/668,1629/8137

Given fractions are 4446/668,1629/8137

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 4446,1629

Greatest Common Factor of Numerators i.e. GCF of 4446,1629 is 9 .

LCM of Denominators means LCM of 668,8137 as per the given fractions.

LCM of 668,8137 is 5435516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4446,1629

GCF of Fractions 4446/668,1629/8137 is 9/5435516

3 4446, 1629
3 1482, 543
494, 181

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 4446,1629 By Matching Biggest Common Factor Method

Greatest Common Factor of 4446,1629 By Matching Biggest Common Factor Method

Factors of 4446

List of positive integer factors of 4446 that divides 4446 without a remainder.

1,2,3,6,9,13,18,19,26,38,39,57,78,114,117,171,234,247,342,494,741,1482,2223,4446

Factors of 1629

List of positive integer factors of 1629 that divides 1629 without a remainder.

1,3,9,181,543,1629

Greatest Common Factor

We found the factors 4446,1629 . The biggest common factor number is the GCF number.
So the greatest common factor 4446,1629 is 9.

Lets's calculate LCM of 668,8137

Given numbers has no common factors except 1. So, there LCM is their product i.e 5435516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/5435516

Therefore, the GCF of Fractions 4446/668,1629/8137 is 9/5435516

Least Common Multiple of 668,8137 with GCF Formula

Least Common Multiple of 668,8137 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 668,8137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,8137) = 1

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

GCF(668,8137) x common factors =1 x 1 = 1

LCM(668,8137) = ( 668 × 8137 ) / 1

LCM(668,8137) = 5435516 / 1

LCM(668,8137) = 5435516


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 4446/668, 1629/8137

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 4446/668, 1629/8137?

Answer: GCF of Numerators as per given numbers 4446/668, 1629/8137 is

GCF of Numerators i.e. for 4446,1629 is 9

LCM of denominators i.e. for 668,8137 is 5435516.

Thus, GCF of Fractions is 9/5435516.Finally, GCF of Fractions for 4446/668, 1629/8137 is 9/5435516.