Greatest Common Factor of 4290/389, 1971/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4290/389, 1971/140

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 4290/389,1971/140

Given fractions are 4290/389,1971/140

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 4290,1971

Greatest Common Factor of Numerators i.e. GCF of 4290,1971 is 3 .

LCM of Denominators means LCM of 389,140 as per the given fractions.

LCM of 389,140 is 54460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4290,1971

GCF of Fractions 4290/389,1971/140 is 3/54460

3 4290, 1971
1430, 657

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

Greatest Common Factor of 4290,1971 By Matching Biggest Common Factor Method

Greatest Common Factor of 4290,1971 By Matching Biggest Common Factor Method

Factors of 4290

List of positive integer factors of 4290 that divides 4290 without a remainder.

1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290

Factors of 1971

List of positive integer factors of 1971 that divides 1971 without a remainder.

1,3,9,27,73,219,657,1971

Greatest Common Factor

We found the factors 4290,1971 . The biggest common factor number is the GCF number.
So the greatest common factor 4290,1971 is 3.

Lets's calculate LCM of 389,140

Given numbers has no common factors except 1. So, there LCM is their product i.e 54460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/54460

Therefore, the GCF of Fractions 4290/389,1971/140 is 3/54460

Least Common Multiple of 389,140 with GCF Formula

Least Common Multiple of 389,140 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 389,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,140) = 1

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

GCF(389,140) x common factors =1 x 1 = 1

LCM(389,140) = ( 389 × 140 ) / 1

LCM(389,140) = 54460 / 1

LCM(389,140) = 54460


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 4290/389, 1971/140

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 4290/389, 1971/140?

Answer: GCF of Numerators as per given numbers 4290/389, 1971/140 is

GCF of Numerators i.e. for 4290,1971 is 3

LCM of denominators i.e. for 389,140 is 54460.

Thus, GCF of Fractions is 3/54460.Finally, GCF of Fractions for 4290/389, 1971/140 is 3/54460.