Greatest Common Factor of 3772/402, 5592/2260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3772/402, 5592/2260

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 3772/402,5592/2260

Given fractions are 3772/402,5592/2260

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 3772,5592

Greatest Common Factor of Numerators i.e. GCF of 3772,5592 is 4 .

LCM of Denominators means LCM of 402,2260 as per the given fractions.

LCM of 402,2260 is 454260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3772,5592

GCF of Fractions 3772/402,5592/2260 is 4/454260

2 3772, 5592
2 1886, 2796
943, 1398

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3772,5592 By Matching Biggest Common Factor Method

Greatest Common Factor of 3772,5592 By Matching Biggest Common Factor Method

Factors of 3772

List of positive integer factors of 3772 that divides 3772 without a remainder.

1,2,4,23,41,46,82,92,164,943,1886,3772

Factors of 5592

List of positive integer factors of 5592 that divides 5592 without a remainder.

1,2,3,4,6,8,12,24,233,466,699,932,1398,1864,2796,5592

Greatest Common Factor

We found the factors 3772,5592 . The biggest common factor number is the GCF number.
So the greatest common factor 3772,5592 is 4.

Lets's calculate LCM of 402,2260

2 402, 2260
201, 1130

∴ So the LCM of the given numbers is 2 x 201 x 1130 = 454260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/454260

Therefore, the GCF of Fractions 3772/402,5592/2260 is 4/454260

Least Common Multiple of 402,2260 with GCF Formula

Least Common Multiple of 402,2260 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 402,2260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,2260) = 2

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

GCF(402,2260) x common factors =2 x 1 = 2

LCM(402,2260) = ( 402 × 2260 ) / 2

LCM(402,2260) = 908520 / 2

LCM(402,2260) = 454260


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 3772/402, 5592/2260

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 3772/402, 5592/2260?

Answer: GCF of Numerators as per given numbers 3772/402, 5592/2260 is

GCF of Numerators i.e. for 3772,5592 is 4

LCM of denominators i.e. for 402,2260 is 454260.

Thus, GCF of Fractions is 4/454260.Finally, GCF of Fractions for 3772/402, 5592/2260 is 4/454260.