Greatest Common Factor of 3660/42, 4018/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3660/42, 4018/614

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 3660/42,4018/614

Given fractions are 3660/42,4018/614

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 3660,4018

Greatest Common Factor of Numerators i.e. GCF of 3660,4018 is 2 .

LCM of Denominators means LCM of 42,614 as per the given fractions.

LCM of 42,614 is 12894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3660,4018

GCF of Fractions 3660/42,4018/614 is 2/12894

2 3660, 4018
1830, 2009

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

Greatest Common Factor of 3660,4018 By Matching Biggest Common Factor Method

Greatest Common Factor of 3660,4018 By Matching Biggest Common Factor Method

Factors of 3660

List of positive integer factors of 3660 that divides 3660 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,61,122,183,244,305,366,610,732,915,1220,1830,3660

Factors of 4018

List of positive integer factors of 4018 that divides 4018 without a remainder.

1,2,7,14,41,49,82,98,287,574,2009,4018

Greatest Common Factor

We found the factors 3660,4018 . The biggest common factor number is the GCF number.
So the greatest common factor 3660,4018 is 2.

Lets's calculate LCM of 42,614

2 42, 614
21, 307

∴ So the LCM of the given numbers is 2 x 21 x 307 = 12894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12894

Therefore, the GCF of Fractions 3660/42,4018/614 is 2/12894

Least Common Multiple of 42,614 with GCF Formula

Least Common Multiple of 42,614 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 42,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,614) = 2

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

GCF(42,614) x common factors =2 x 1 = 2

LCM(42,614) = ( 42 × 614 ) / 2

LCM(42,614) = 25788 / 2

LCM(42,614) = 12894


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 3660/42, 4018/614

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 3660/42, 4018/614?

Answer: GCF of Numerators as per given numbers 3660/42, 4018/614 is

GCF of Numerators i.e. for 3660,4018 is 2

LCM of denominators i.e. for 42,614 is 12894.

Thus, GCF of Fractions is 2/12894.Finally, GCF of Fractions for 3660/42, 4018/614 is 2/12894.