Greatest Common Factor of 3940/949, 5400/4502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3940/949, 5400/4502

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 3940/949,5400/4502

Given fractions are 3940/949,5400/4502

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 3940,5400

Greatest Common Factor of Numerators i.e. GCF of 3940,5400 is 20 .

LCM of Denominators means LCM of 949,4502 as per the given fractions.

LCM of 949,4502 is 4272398 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3940,5400

GCF of Fractions 3940/949,5400/4502 is 20/4272398

2 3940, 5400
2 1970, 2700
5 985, 1350
197, 270

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 3940,5400 By Matching Biggest Common Factor Method

Greatest Common Factor of 3940,5400 By Matching Biggest Common Factor Method

Factors of 3940

List of positive integer factors of 3940 that divides 3940 without a remainder.

1,2,4,5,10,20,197,394,788,985,1970,3940

Factors of 5400

List of positive integer factors of 5400 that divides 5400 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400

Greatest Common Factor

We found the factors 3940,5400 . The biggest common factor number is the GCF number.
So the greatest common factor 3940,5400 is 20.

Lets's calculate LCM of 949,4502

Given numbers has no common factors except 1. So, there LCM is their product i.e 4272398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/4272398

Therefore, the GCF of Fractions 3940/949,5400/4502 is 20/4272398

Least Common Multiple of 949,4502 with GCF Formula

Least Common Multiple of 949,4502 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 949,4502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,4502) = 1

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

GCF(949,4502) x common factors =1 x 1 = 1

LCM(949,4502) = ( 949 × 4502 ) / 1

LCM(949,4502) = 4272398 / 1

LCM(949,4502) = 4272398


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 3940/949, 5400/4502

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 3940/949, 5400/4502?

Answer: GCF of Numerators as per given numbers 3940/949, 5400/4502 is

GCF of Numerators i.e. for 3940,5400 is 20

LCM of denominators i.e. for 949,4502 is 4272398.

Thus, GCF of Fractions is 20/4272398.Finally, GCF of Fractions for 3940/949, 5400/4502 is 20/4272398.