Greatest Common Factor of 2794/744, 4580/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2794/744, 4580/662

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 2794/744,4580/662

Given fractions are 2794/744,4580/662

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 2794,4580

Greatest Common Factor of Numerators i.e. GCF of 2794,4580 is 2 .

LCM of Denominators means LCM of 744,662 as per the given fractions.

LCM of 744,662 is 246264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2794,4580

GCF of Fractions 2794/744,4580/662 is 2/246264

2 2794, 4580
1397, 2290

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

Greatest Common Factor of 2794,4580 By Matching Biggest Common Factor Method

Greatest Common Factor of 2794,4580 By Matching Biggest Common Factor Method

Factors of 2794

List of positive integer factors of 2794 that divides 2794 without a remainder.

1,2,11,22,127,254,1397,2794

Factors of 4580

List of positive integer factors of 4580 that divides 4580 without a remainder.

1,2,4,5,10,20,229,458,916,1145,2290,4580

Greatest Common Factor

We found the factors 2794,4580 . The biggest common factor number is the GCF number.
So the greatest common factor 2794,4580 is 2.

Lets's calculate LCM of 744,662

2 744, 662
372, 331

∴ So the LCM of the given numbers is 2 x 372 x 331 = 246264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/246264

Therefore, the GCF of Fractions 2794/744,4580/662 is 2/246264

Least Common Multiple of 744,662 with GCF Formula

Least Common Multiple of 744,662 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 744,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,662) = 2

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

GCF(744,662) x common factors =2 x 1 = 2

LCM(744,662) = ( 744 × 662 ) / 2

LCM(744,662) = 492528 / 2

LCM(744,662) = 246264


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 2794/744, 4580/662

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 2794/744, 4580/662?

Answer: GCF of Numerators as per given numbers 2794/744, 4580/662 is

GCF of Numerators i.e. for 2794,4580 is 2

LCM of denominators i.e. for 744,662 is 246264.

Thus, GCF of Fractions is 2/246264.Finally, GCF of Fractions for 2794/744, 4580/662 is 2/246264.