Greatest Common Factor of 5662/605, 3772/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5662/605, 3772/924

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 5662/605,3772/924

Given fractions are 5662/605,3772/924

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 5662,3772

Greatest Common Factor of Numerators i.e. GCF of 5662,3772 is 2 .

LCM of Denominators means LCM of 605,924 as per the given fractions.

LCM of 605,924 is 50820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5662,3772

GCF of Fractions 5662/605,3772/924 is 2/50820

2 5662, 3772
2831, 1886

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

Greatest Common Factor of 5662,3772 By Matching Biggest Common Factor Method

Greatest Common Factor of 5662,3772 By Matching Biggest Common Factor Method

Factors of 5662

List of positive integer factors of 5662 that divides 5662 without a remainder.

1,2,19,38,149,298,2831,5662

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

Greatest Common Factor

We found the factors 5662,3772 . The biggest common factor number is the GCF number.
So the greatest common factor 5662,3772 is 2.

Lets's calculate LCM of 605,924

11 605, 924
55, 84

∴ So the LCM of the given numbers is 11 x 55 x 84 = 50820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50820

Therefore, the GCF of Fractions 5662/605,3772/924 is 2/50820

Least Common Multiple of 605,924 with GCF Formula

Least Common Multiple of 605,924 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 605,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,924) = 11

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

GCF(605,924) x common factors =11 x 1 = 11

LCM(605,924) = ( 605 × 924 ) / 11

LCM(605,924) = 559020 / 11

LCM(605,924) = 50820


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 5662/605, 3772/924

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 5662/605, 3772/924?

Answer: GCF of Numerators as per given numbers 5662/605, 3772/924 is

GCF of Numerators i.e. for 5662,3772 is 2

LCM of denominators i.e. for 605,924 is 50820.

Thus, GCF of Fractions is 2/50820.Finally, GCF of Fractions for 5662/605, 3772/924 is 2/50820.