Greatest Common Factor of 7167/67, 2418/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7167/67, 2418/614

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 7167/67,2418/614

Given fractions are 7167/67,2418/614

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 7167,2418

Greatest Common Factor of Numerators i.e. GCF of 7167,2418 is 3 .

LCM of Denominators means LCM of 67,614 as per the given fractions.

LCM of 67,614 is 41138 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7167,2418

GCF of Fractions 7167/67,2418/614 is 3/41138

3 7167, 2418
2389, 806

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

Greatest Common Factor of 7167,2418 By Matching Biggest Common Factor Method

Greatest Common Factor of 7167,2418 By Matching Biggest Common Factor Method

Factors of 7167

List of positive integer factors of 7167 that divides 7167 without a remainder.

1,3,2389,7167

Factors of 2418

List of positive integer factors of 2418 that divides 2418 without a remainder.

1,2,3,6,13,26,31,39,62,78,93,186,403,806,1209,2418

Greatest Common Factor

We found the factors 7167,2418 . The biggest common factor number is the GCF number.
So the greatest common factor 7167,2418 is 3.

Lets's calculate LCM of 67,614

Given numbers has no common factors except 1. So, there LCM is their product i.e 41138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41138

Therefore, the GCF of Fractions 7167/67,2418/614 is 3/41138

Least Common Multiple of 67,614 with GCF Formula

Least Common Multiple of 67,614 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 67,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,614) = 1

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

GCF(67,614) x common factors =1 x 1 = 1

LCM(67,614) = ( 67 × 614 ) / 1

LCM(67,614) = 41138 / 1

LCM(67,614) = 41138


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 7167/67, 2418/614

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 7167/67, 2418/614?

Answer: GCF of Numerators as per given numbers 7167/67, 2418/614 is

GCF of Numerators i.e. for 7167,2418 is 3

LCM of denominators i.e. for 67,614 is 41138.

Thus, GCF of Fractions is 3/41138.Finally, GCF of Fractions for 7167/67, 2418/614 is 3/41138.