Greatest Common Factor of 3980/66, 9046/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3980/66, 9046/649

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 3980/66,9046/649

Given fractions are 3980/66,9046/649

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 3980,9046

Greatest Common Factor of Numerators i.e. GCF of 3980,9046 is 2 .

LCM of Denominators means LCM of 66,649 as per the given fractions.

LCM of 66,649 is 3894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3980,9046

GCF of Fractions 3980/66,9046/649 is 2/3894

2 3980, 9046
1990, 4523

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

Greatest Common Factor of 3980,9046 By Matching Biggest Common Factor Method

Greatest Common Factor of 3980,9046 By Matching Biggest Common Factor Method

Factors of 3980

List of positive integer factors of 3980 that divides 3980 without a remainder.

1,2,4,5,10,20,199,398,796,995,1990,3980

Factors of 9046

List of positive integer factors of 9046 that divides 9046 without a remainder.

1,2,4523,9046

Greatest Common Factor

We found the factors 3980,9046 . The biggest common factor number is the GCF number.
So the greatest common factor 3980,9046 is 2.

Lets's calculate LCM of 66,649

11 66, 649
6, 59

∴ So the LCM of the given numbers is 11 x 6 x 59 = 3894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3894

Therefore, the GCF of Fractions 3980/66,9046/649 is 2/3894

Least Common Multiple of 66,649 with GCF Formula

Least Common Multiple of 66,649 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 66,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,649) = 11

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

GCF(66,649) x common factors =11 x 1 = 11

LCM(66,649) = ( 66 × 649 ) / 11

LCM(66,649) = 42834 / 11

LCM(66,649) = 3894


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 3980/66, 9046/649

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 3980/66, 9046/649?

Answer: GCF of Numerators as per given numbers 3980/66, 9046/649 is

GCF of Numerators i.e. for 3980,9046 is 2

LCM of denominators i.e. for 66,649 is 3894.

Thus, GCF of Fractions is 2/3894.Finally, GCF of Fractions for 3980/66, 9046/649 is 2/3894.