Greatest Common Factor of 3813/186, 5532/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3813/186, 5532/620

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 3813/186,5532/620

Given fractions are 3813/186,5532/620

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 3813,5532

Greatest Common Factor of Numerators i.e. GCF of 3813,5532 is 3 .

LCM of Denominators means LCM of 186,620 as per the given fractions.

LCM of 186,620 is 1860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3813,5532

GCF of Fractions 3813/186,5532/620 is 3/1860

3 3813, 5532
1271, 1844

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3813,5532 By Matching Biggest Common Factor Method

Greatest Common Factor of 3813,5532 By Matching Biggest Common Factor Method

Factors of 3813

List of positive integer factors of 3813 that divides 3813 without a remainder.

1,3,31,41,93,123,1271,3813

Factors of 5532

List of positive integer factors of 5532 that divides 5532 without a remainder.

1,2,3,4,6,12,461,922,1383,1844,2766,5532

Greatest Common Factor

We found the factors 3813,5532 . The biggest common factor number is the GCF number.
So the greatest common factor 3813,5532 is 3.

Lets's calculate LCM of 186,620

2 186, 620
31 93, 310
3, 10

∴ So the LCM of the given numbers is 2 x 31 x 3 x 10 = 1860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1860

Therefore, the GCF of Fractions 3813/186,5532/620 is 3/1860

Least Common Multiple of 186,620 with GCF Formula

Least Common Multiple of 186,620 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 186,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,620) = 62

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

GCF(186,620) x common factors =62 x 1 = 62

LCM(186,620) = ( 186 × 620 ) / 62

LCM(186,620) = 115320 / 62

LCM(186,620) = 1860


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 3813/186, 5532/620

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 3813/186, 5532/620?

Answer: GCF of Numerators as per given numbers 3813/186, 5532/620 is

GCF of Numerators i.e. for 3813,5532 is 3

LCM of denominators i.e. for 186,620 is 1860.

Thus, GCF of Fractions is 3/1860.Finally, GCF of Fractions for 3813/186, 5532/620 is 3/1860.