Greatest Common Factor of 3970/51, 2031/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3970/51, 2031/486

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 3970/51,2031/486

Given fractions are 3970/51,2031/486

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 3970,2031

Greatest Common Factor of Numerators i.e. GCF of 3970,2031 is 1 .

LCM of Denominators means LCM of 51,486 as per the given fractions.

LCM of 51,486 is 8262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3970,2031

GCF of Fractions 3970/51,2031/486 is 1/8262

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

Greatest Common Factor of 3970,2031 By Matching Biggest Common Factor Method

Greatest Common Factor of 3970,2031 By Matching Biggest Common Factor Method

Factors of 3970

List of positive integer factors of 3970 that divides 3970 without a remainder.

1,2,5,10,397,794,1985,3970

Factors of 2031

List of positive integer factors of 2031 that divides 2031 without a remainder.

1,3,677,2031

Greatest Common Factor

We found the factors 3970,2031 . The biggest common factor number is the GCF number.
So the greatest common factor 3970,2031 is 1.

Lets's calculate LCM of 51,486

3 51, 486
17, 162

∴ So the LCM of the given numbers is 3 x 17 x 162 = 8262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8262

Therefore, the GCF of Fractions 3970/51,2031/486 is 1/8262

Least Common Multiple of 51,486 with GCF Formula

Least Common Multiple of 51,486 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 51,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,486) = 3

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

GCF(51,486) x common factors =3 x 1 = 3

LCM(51,486) = ( 51 × 486 ) / 3

LCM(51,486) = 24786 / 3

LCM(51,486) = 8262


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 3970/51, 2031/486

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 3970/51, 2031/486?

Answer: GCF of Numerators as per given numbers 3970/51, 2031/486 is

GCF of Numerators i.e. for 3970,2031 is 1

LCM of denominators i.e. for 51,486 is 8262.

Thus, GCF of Fractions is 1/8262.Finally, GCF of Fractions for 3970/51, 2031/486 is 1/8262.