Greatest Common Factor of 5862/330, 3638/2068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5862/330, 3638/2068

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 5862/330,3638/2068

Given fractions are 5862/330,3638/2068

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 5862,3638

Greatest Common Factor of Numerators i.e. GCF of 5862,3638 is 2 .

LCM of Denominators means LCM of 330,2068 as per the given fractions.

LCM of 330,2068 is 31020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5862,3638

GCF of Fractions 5862/330,3638/2068 is 2/31020

2 5862, 3638
2931, 1819

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

Greatest Common Factor of 5862,3638 By Matching Biggest Common Factor Method

Greatest Common Factor of 5862,3638 By Matching Biggest Common Factor Method

Factors of 5862

List of positive integer factors of 5862 that divides 5862 without a remainder.

1,2,3,6,977,1954,2931,5862

Factors of 3638

List of positive integer factors of 3638 that divides 3638 without a remainder.

1,2,17,34,107,214,1819,3638

Greatest Common Factor

We found the factors 5862,3638 . The biggest common factor number is the GCF number.
So the greatest common factor 5862,3638 is 2.

Lets's calculate LCM of 330,2068

2 330, 2068
11 165, 1034
15, 94

∴ So the LCM of the given numbers is 2 x 11 x 15 x 94 = 31020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31020

Therefore, the GCF of Fractions 5862/330,3638/2068 is 2/31020

Least Common Multiple of 330,2068 with GCF Formula

Least Common Multiple of 330,2068 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 330,2068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,2068) = 22

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

GCF(330,2068) x common factors =22 x 1 = 22

LCM(330,2068) = ( 330 × 2068 ) / 22

LCM(330,2068) = 682440 / 22

LCM(330,2068) = 31020


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 5862/330, 3638/2068

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 5862/330, 3638/2068?

Answer: GCF of Numerators as per given numbers 5862/330, 3638/2068 is

GCF of Numerators i.e. for 5862,3638 is 2

LCM of denominators i.e. for 330,2068 is 31020.

Thus, GCF of Fractions is 2/31020.Finally, GCF of Fractions for 5862/330, 3638/2068 is 2/31020.