Greatest Common Factor of 834/137, 299/241, 326/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 834/137, 299/241, 326/701

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 834/137,299/241,326/701

Given fractions are 834/137,299/241,326/701

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 834,299,326

Greatest Common Factor of Numerators i.e. GCF of 834,299,326 is 1 .

LCM of Denominators means LCM of 137,241,701 as per the given fractions.

LCM of 137,241,701 is 23144917 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 834,299,326

GCF of Fractions 834/137,299/241,326/701 is 1/23144917

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

Greatest Common Factor of 834,299,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,299,326 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 834,299,326 . The biggest common factor number is the GCF number.
So the greatest common factor 834,299,326 is 1.

Lets's calculate LCM of 137,241,701

Given numbers has no common factors except 1. So, there LCM is their product i.e 23144917

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23144917

Therefore, the GCF of Fractions 834/137,299/241,326/701 is 1/23144917

Least Common Multiple of 137,241,701 with GCF Formula

Least Common Multiple of 137,241,701 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 137,241,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,241,701) = 1

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

GCF(137,241,701) x common factors =1 x 1 = 1

LCM(137,241,701) = ( 137 × 241 × 701 ) / 1

LCM(137,241,701) = 23144917 / 1

LCM(137,241,701) = 23144917


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 834/137, 299/241, 326/701

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 834/137, 299/241, 326/701?

Answer: GCF of Numerators as per given numbers 834/137, 299/241, 326/701 is

GCF of Numerators i.e. for 834,299,326 is 1

LCM of denominators i.e. for 137,241,701 is 23144917.

Thus, GCF of Fractions is 1/23144917.Finally, GCF of Fractions for 834/137, 299/241, 326/701 is 1/23144917.