Greatest Common Factor of 68/75, 39/65, 836/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/75, 39/65, 836/278

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 68/75,39/65,836/278

Given fractions are 68/75,39/65,836/278

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 68,39,836

Greatest Common Factor of Numerators i.e. GCF of 68,39,836 is 1 .

LCM of Denominators means LCM of 75,65,278 as per the given fractions.

LCM of 75,65,278 is 271050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,39,836

GCF of Fractions 68/75,39/65,836/278 is 1/271050

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

Greatest Common Factor of 68,39,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,39,836 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

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

Greatest Common Factor

We found the factors 68,39,836 . The biggest common factor number is the GCF number.
So the greatest common factor 68,39,836 is 1.

Lets's calculate LCM of 75,65,278

5 75, 65, 278
15, 13, 278

∴ So the LCM of the given numbers is 5 x 15 x 13 x 278 = 271050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271050

Therefore, the GCF of Fractions 68/75,39/65,836/278 is 1/271050

Least Common Multiple of 75,65,278 with GCF Formula

Least Common Multiple of 75,65,278 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 75,65,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,65,278) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(75,65,278) x common factors =1 x 5 = 5

LCM(75,65,278) = ( 75 × 65 × 278 ) / 5

LCM(75,65,278) = 1355250 / 5

LCM(75,65,278) = 271050


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 68/75, 39/65, 836/278

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 68/75, 39/65, 836/278?

Answer: GCF of Numerators as per given numbers 68/75, 39/65, 836/278 is

GCF of Numerators i.e. for 68,39,836 is 1

LCM of denominators i.e. for 75,65,278 is 271050.

Thus, GCF of Fractions is 1/271050.Finally, GCF of Fractions for 68/75, 39/65, 836/278 is 1/271050.