Greatest Common Factor of 238/33, 816/67, 109/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/33, 816/67, 109/691

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 238/33,816/67,109/691

Given fractions are 238/33,816/67,109/691

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 238,816,109

Greatest Common Factor of Numerators i.e. GCF of 238,816,109 is 1 .

LCM of Denominators means LCM of 33,67,691 as per the given fractions.

LCM of 33,67,691 is 1527801 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,816,109

GCF of Fractions 238/33,816/67,109/691 is 1/1527801

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 238,816,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,816,109 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 238,816,109 . The biggest common factor number is the GCF number.
So the greatest common factor 238,816,109 is 1.

Lets's calculate LCM of 33,67,691

Given numbers has no common factors except 1. So, there LCM is their product i.e 1527801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1527801

Therefore, the GCF of Fractions 238/33,816/67,109/691 is 1/1527801

Least Common Multiple of 33,67,691 with GCF Formula

Least Common Multiple of 33,67,691 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 33,67,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,67,691) = 1

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

GCF(33,67,691) x common factors =1 x 1 = 1

LCM(33,67,691) = ( 33 × 67 × 691 ) / 1

LCM(33,67,691) = 1527801 / 1

LCM(33,67,691) = 1527801


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 238/33, 816/67, 109/691

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 238/33, 816/67, 109/691?

Answer: GCF of Numerators as per given numbers 238/33, 816/67, 109/691 is

GCF of Numerators i.e. for 238,816,109 is 1

LCM of denominators i.e. for 33,67,691 is 1527801.

Thus, GCF of Fractions is 1/1527801.Finally, GCF of Fractions for 238/33, 816/67, 109/691 is 1/1527801.