Greatest Common Factor of 681/601, 636/978, 291/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/601, 636/978, 291/796

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 681/601,636/978,291/796

Given fractions are 681/601,636/978,291/796

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 681,636,291

Greatest Common Factor of Numerators i.e. GCF of 681,636,291 is 3 .

LCM of Denominators means LCM of 601,978,796 as per the given fractions.

LCM of 601,978,796 is 233935644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,636,291

GCF of Fractions 681/601,636/978,291/796 is 3/233935644

3 681, 636, 291
227, 212, 97

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

Greatest Common Factor of 681,636,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,636,291 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 681,636,291 . The biggest common factor number is the GCF number.
So the greatest common factor 681,636,291 is 3.

Lets's calculate LCM of 601,978,796

2 601, 978, 796
601, 489, 398

∴ So the LCM of the given numbers is 2 x 601 x 489 x 398 = 233935644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/233935644

Therefore, the GCF of Fractions 681/601,636/978,291/796 is 3/233935644

Least Common Multiple of 601,978,796 with GCF Formula

Least Common Multiple of 601,978,796 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 601,978,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,978,796) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(601,978,796) x common factors =1 x 2 = 2

LCM(601,978,796) = ( 601 × 978 × 796 ) / 2

LCM(601,978,796) = 467871288 / 2

LCM(601,978,796) = 233935644


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 681/601, 636/978, 291/796

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 681/601, 636/978, 291/796?

Answer: GCF of Numerators as per given numbers 681/601, 636/978, 291/796 is

GCF of Numerators i.e. for 681,636,291 is 3

LCM of denominators i.e. for 601,978,796 is 233935644.

Thus, GCF of Fractions is 3/233935644.Finally, GCF of Fractions for 681/601, 636/978, 291/796 is 3/233935644.