Greatest Common Factor of 82/696, 759/670, 623/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/696, 759/670, 623/237

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 82/696,759/670,623/237

Given fractions are 82/696,759/670,623/237

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 82,759,623

Greatest Common Factor of Numerators i.e. GCF of 82,759,623 is 1 .

LCM of Denominators means LCM of 696,670,237 as per the given fractions.

LCM of 696,670,237 is 18419640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,759,623

GCF of Fractions 82/696,759/670,623/237 is 1/18419640

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

Greatest Common Factor of 82,759,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,759,623 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 82,759,623 . The biggest common factor number is the GCF number.
So the greatest common factor 82,759,623 is 1.

Lets's calculate LCM of 696,670,237

2 696, 670, 237
3 348, 335, 237
116, 335, 79

∴ So the LCM of the given numbers is 2 x 3 x 116 x 335 x 79 = 18419640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18419640

Therefore, the GCF of Fractions 82/696,759/670,623/237 is 1/18419640

Least Common Multiple of 696,670,237 with GCF Formula

Least Common Multiple of 696,670,237 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 696,670,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,670,237) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(696,670,237) x common factors =1 x 6 = 6

LCM(696,670,237) = ( 696 × 670 × 237 ) / 6

LCM(696,670,237) = 110517840 / 6

LCM(696,670,237) = 18419640


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 82/696, 759/670, 623/237

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 82/696, 759/670, 623/237?

Answer: GCF of Numerators as per given numbers 82/696, 759/670, 623/237 is

GCF of Numerators i.e. for 82,759,623 is 1

LCM of denominators i.e. for 696,670,237 is 18419640.

Thus, GCF of Fractions is 1/18419640.Finally, GCF of Fractions for 82/696, 759/670, 623/237 is 1/18419640.