Greatest Common Factor of 5572/393, 3742/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5572/393, 3742/999

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 5572/393,3742/999

Given fractions are 5572/393,3742/999

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 5572,3742

Greatest Common Factor of Numerators i.e. GCF of 5572,3742 is 2 .

LCM of Denominators means LCM of 393,999 as per the given fractions.

LCM of 393,999 is 130869 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5572,3742

GCF of Fractions 5572/393,3742/999 is 2/130869

2 5572, 3742
2786, 1871

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

Greatest Common Factor of 5572,3742 By Matching Biggest Common Factor Method

Greatest Common Factor of 5572,3742 By Matching Biggest Common Factor Method

Factors of 5572

List of positive integer factors of 5572 that divides 5572 without a remainder.

1,2,4,7,14,28,199,398,796,1393,2786,5572

Factors of 3742

List of positive integer factors of 3742 that divides 3742 without a remainder.

1,2,1871,3742

Greatest Common Factor

We found the factors 5572,3742 . The biggest common factor number is the GCF number.
So the greatest common factor 5572,3742 is 2.

Lets's calculate LCM of 393,999

3 393, 999
131, 333

∴ So the LCM of the given numbers is 3 x 131 x 333 = 130869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130869

Therefore, the GCF of Fractions 5572/393,3742/999 is 2/130869

Least Common Multiple of 393,999 with GCF Formula

Least Common Multiple of 393,999 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 393,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,999) = 3

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

GCF(393,999) x common factors =3 x 1 = 3

LCM(393,999) = ( 393 × 999 ) / 3

LCM(393,999) = 392607 / 3

LCM(393,999) = 130869


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 5572/393, 3742/999

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 5572/393, 3742/999?

Answer: GCF of Numerators as per given numbers 5572/393, 3742/999 is

GCF of Numerators i.e. for 5572,3742 is 2

LCM of denominators i.e. for 393,999 is 130869.

Thus, GCF of Fractions is 2/130869.Finally, GCF of Fractions for 5572/393, 3742/999 is 2/130869.