Greatest Common Factor of 3621/355, 6078/6653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3621/355, 6078/6653

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 3621/355,6078/6653

Given fractions are 3621/355,6078/6653

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 3621,6078

Greatest Common Factor of Numerators i.e. GCF of 3621,6078 is 3 .

LCM of Denominators means LCM of 355,6653 as per the given fractions.

LCM of 355,6653 is 2361815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3621,6078

GCF of Fractions 3621/355,6078/6653 is 3/2361815

3 3621, 6078
1207, 2026

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

Greatest Common Factor of 3621,6078 By Matching Biggest Common Factor Method

Greatest Common Factor of 3621,6078 By Matching Biggest Common Factor Method

Factors of 3621

List of positive integer factors of 3621 that divides 3621 without a remainder.

1,3,17,51,71,213,1207,3621

Factors of 6078

List of positive integer factors of 6078 that divides 6078 without a remainder.

1,2,3,6,1013,2026,3039,6078

Greatest Common Factor

We found the factors 3621,6078 . The biggest common factor number is the GCF number.
So the greatest common factor 3621,6078 is 3.

Lets's calculate LCM of 355,6653

Given numbers has no common factors except 1. So, there LCM is their product i.e 2361815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2361815

Therefore, the GCF of Fractions 3621/355,6078/6653 is 3/2361815

Least Common Multiple of 355,6653 with GCF Formula

Least Common Multiple of 355,6653 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 355,6653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,6653) = 1

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

GCF(355,6653) x common factors =1 x 1 = 1

LCM(355,6653) = ( 355 × 6653 ) / 1

LCM(355,6653) = 2361815 / 1

LCM(355,6653) = 2361815


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 3621/355, 6078/6653

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 3621/355, 6078/6653?

Answer: GCF of Numerators as per given numbers 3621/355, 6078/6653 is

GCF of Numerators i.e. for 3621,6078 is 3

LCM of denominators i.e. for 355,6653 is 2361815.

Thus, GCF of Fractions is 3/2361815.Finally, GCF of Fractions for 3621/355, 6078/6653 is 3/2361815.