Greatest Common Factor of 4014/67, 6618/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4014/67, 6618/374

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 4014/67,6618/374

Given fractions are 4014/67,6618/374

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 4014,6618

Greatest Common Factor of Numerators i.e. GCF of 4014,6618 is 6 .

LCM of Denominators means LCM of 67,374 as per the given fractions.

LCM of 67,374 is 25058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4014,6618

GCF of Fractions 4014/67,6618/374 is 6/25058

2 4014, 6618
3 2007, 3309
669, 1103

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4014,6618 By Matching Biggest Common Factor Method

Greatest Common Factor of 4014,6618 By Matching Biggest Common Factor Method

Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1,2,3,6,9,18,223,446,669,1338,2007,4014

Factors of 6618

List of positive integer factors of 6618 that divides 6618 without a remainder.

1,2,3,6,1103,2206,3309,6618

Greatest Common Factor

We found the factors 4014,6618 . The biggest common factor number is the GCF number.
So the greatest common factor 4014,6618 is 6.

Lets's calculate LCM of 67,374

Given numbers has no common factors except 1. So, there LCM is their product i.e 25058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/25058

Therefore, the GCF of Fractions 4014/67,6618/374 is 6/25058

Least Common Multiple of 67,374 with GCF Formula

Least Common Multiple of 67,374 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 67,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,374) = 1

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

GCF(67,374) x common factors =1 x 1 = 1

LCM(67,374) = ( 67 × 374 ) / 1

LCM(67,374) = 25058 / 1

LCM(67,374) = 25058


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 4014/67, 6618/374

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 4014/67, 6618/374?

Answer: GCF of Numerators as per given numbers 4014/67, 6618/374 is

GCF of Numerators i.e. for 4014,6618 is 6

LCM of denominators i.e. for 67,374 is 25058.

Thus, GCF of Fractions is 6/25058.Finally, GCF of Fractions for 4014/67, 6618/374 is 6/25058.