Greatest Common Factor of 2040/953, 3141/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2040/953, 3141/900

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 2040/953,3141/900

Given fractions are 2040/953,3141/900

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 2040,3141

Greatest Common Factor of Numerators i.e. GCF of 2040,3141 is 3 .

LCM of Denominators means LCM of 953,900 as per the given fractions.

LCM of 953,900 is 857700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2040,3141

GCF of Fractions 2040/953,3141/900 is 3/857700

3 2040, 3141
680, 1047

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

Greatest Common Factor of 2040,3141 By Matching Biggest Common Factor Method

Greatest Common Factor of 2040,3141 By Matching Biggest Common Factor Method

Factors of 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040

Factors of 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1,3,9,349,1047,3141

Greatest Common Factor

We found the factors 2040,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 2040,3141 is 3.

Lets's calculate LCM of 953,900

Given numbers has no common factors except 1. So, there LCM is their product i.e 857700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/857700

Therefore, the GCF of Fractions 2040/953,3141/900 is 3/857700

Least Common Multiple of 953,900 with GCF Formula

Least Common Multiple of 953,900 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 953,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,900) = 1

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

GCF(953,900) x common factors =1 x 1 = 1

LCM(953,900) = ( 953 × 900 ) / 1

LCM(953,900) = 857700 / 1

LCM(953,900) = 857700


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 2040/953, 3141/900

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 2040/953, 3141/900?

Answer: GCF of Numerators as per given numbers 2040/953, 3141/900 is

GCF of Numerators i.e. for 2040,3141 is 3

LCM of denominators i.e. for 953,900 is 857700.

Thus, GCF of Fractions is 3/857700.Finally, GCF of Fractions for 2040/953, 3141/900 is 3/857700.