Greatest Common Factor of 2973/704, 2033/2140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2973/704, 2033/2140

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 2973/704,2033/2140

Given fractions are 2973/704,2033/2140

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 2973,2033

Greatest Common Factor of Numerators i.e. GCF of 2973,2033 is 1 .

LCM of Denominators means LCM of 704,2140 as per the given fractions.

LCM of 704,2140 is 376640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2973,2033

GCF of Fractions 2973/704,2033/2140 is 1/376640

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

Greatest Common Factor of 2973,2033 By Matching Biggest Common Factor Method

Greatest Common Factor of 2973,2033 By Matching Biggest Common Factor Method

Factors of 2973

List of positive integer factors of 2973 that divides 2973 without a remainder.

1,3,991,2973

Factors of 2033

List of positive integer factors of 2033 that divides 2033 without a remainder.

1,19,107,2033

Greatest Common Factor

We found the factors 2973,2033 . The biggest common factor number is the GCF number.
So the greatest common factor 2973,2033 is 1.

Lets's calculate LCM of 704,2140

2 704, 2140
2 352, 1070
176, 535

∴ So the LCM of the given numbers is 2 x 2 x 176 x 535 = 376640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376640

Therefore, the GCF of Fractions 2973/704,2033/2140 is 1/376640

Least Common Multiple of 704,2140 with GCF Formula

Least Common Multiple of 704,2140 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 704,2140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,2140) = 4

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

GCF(704,2140) x common factors =4 x 1 = 4

LCM(704,2140) = ( 704 × 2140 ) / 4

LCM(704,2140) = 1506560 / 4

LCM(704,2140) = 376640


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 2973/704, 2033/2140

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 2973/704, 2033/2140?

Answer: GCF of Numerators as per given numbers 2973/704, 2033/2140 is

GCF of Numerators i.e. for 2973,2033 is 1

LCM of denominators i.e. for 704,2140 is 376640.

Thus, GCF of Fractions is 1/376640.Finally, GCF of Fractions for 2973/704, 2033/2140 is 1/376640.