Greatest Common Factor of 364/27, 836/73, 681/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/27, 836/73, 681/769

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 364/27,836/73,681/769

Given fractions are 364/27,836/73,681/769

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 364,836,681

Greatest Common Factor of Numerators i.e. GCF of 364,836,681 is 1 .

LCM of Denominators means LCM of 27,73,769 as per the given fractions.

LCM of 27,73,769 is 1515699 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,836,681

GCF of Fractions 364/27,836/73,681/769 is 1/1515699

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

Greatest Common Factor of 364,836,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,836,681 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 681

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

1,3,227,681

Greatest Common Factor

We found the factors 364,836,681 . The biggest common factor number is the GCF number.
So the greatest common factor 364,836,681 is 1.

Lets's calculate LCM of 27,73,769

Given numbers has no common factors except 1. So, there LCM is their product i.e 1515699

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1515699

Therefore, the GCF of Fractions 364/27,836/73,681/769 is 1/1515699

Least Common Multiple of 27,73,769 with GCF Formula

Least Common Multiple of 27,73,769 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 27,73,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,73,769) = 1

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

GCF(27,73,769) x common factors =1 x 1 = 1

LCM(27,73,769) = ( 27 × 73 × 769 ) / 1

LCM(27,73,769) = 1515699 / 1

LCM(27,73,769) = 1515699


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 364/27, 836/73, 681/769

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 364/27, 836/73, 681/769?

Answer: GCF of Numerators as per given numbers 364/27, 836/73, 681/769 is

GCF of Numerators i.e. for 364,836,681 is 1

LCM of denominators i.e. for 27,73,769 is 1515699.

Thus, GCF of Fractions is 1/1515699.Finally, GCF of Fractions for 364/27, 836/73, 681/769 is 1/1515699.