Greatest Common Factor of 218/67, 2616/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 218/67, 2616/905

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 218/67,2616/905

Given fractions are 218/67,2616/905

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 218,2616

Greatest Common Factor of Numerators i.e. GCF of 218,2616 is 218 .

LCM of Denominators means LCM of 67,905 as per the given fractions.

LCM of 67,905 is 60635 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 218,2616

GCF of Fractions 218/67,2616/905 is 218/60635

2 218, 2616
109 109, 1308
1, 12

∴ So the GCF of the given numbers is 2 x 109 = 218

Greatest Common Factor of 218,2616 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,2616 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 2616

List of positive integer factors of 2616 that divides 2616 without a remainder.

1,2,3,4,6,8,12,24,109,218,327,436,654,872,1308,2616

Greatest Common Factor

We found the factors 218,2616 . The biggest common factor number is the GCF number.
So the greatest common factor 218,2616 is 218.

Lets's calculate LCM of 67,905

Given numbers has no common factors except 1. So, there LCM is their product i.e 60635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 218/60635

Therefore, the GCF of Fractions 218/67,2616/905 is 218/60635

Least Common Multiple of 67,905 with GCF Formula

Least Common Multiple of 67,905 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 67,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,905) = 1

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

GCF(67,905) x common factors =1 x 1 = 1

LCM(67,905) = ( 67 × 905 ) / 1

LCM(67,905) = 60635 / 1

LCM(67,905) = 60635


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 218/67, 2616/905

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 218/67, 2616/905?

Answer: GCF of Numerators as per given numbers 218/67, 2616/905 is

GCF of Numerators i.e. for 218,2616 is 218

LCM of denominators i.e. for 67,905 is 60635.

Thus, GCF of Fractions is 218/60635.Finally, GCF of Fractions for 218/67, 2616/905 is 218/60635.