Greatest Common Factor of 1/68, 75/79, 14/161, 322/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/68, 75/79, 14/161, 322/714

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 1/68,75/79,14/161,322/714

Given fractions are 1/68,75/79,14/161,322/714

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 1,75,14,322

Greatest Common Factor of Numerators i.e. GCF of 1,75,14,322 is 1 .

LCM of Denominators means LCM of 68,79,161,714 as per the given fractions.

LCM of 68,79,161,714 is 2594676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,75,14,322

GCF of Fractions 1/68,75/79,14/161,322/714 is 1/2594676

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

Greatest Common Factor of 1,75,14,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,75,14,322 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 1,75,14,322 . The biggest common factor number is the GCF number.
So the greatest common factor 1,75,14,322 is 1.

Lets's calculate LCM of 68,79,161,714

2 68, 79, 161, 714
7 34, 79, 161, 357
17 34, 79, 23, 51
2, 79, 23, 3

∴ So the LCM of the given numbers is 2 x 7 x 17 x 2 x 79 x 23 x 3 = 2594676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2594676

Therefore, the GCF of Fractions 1/68,75/79,14/161,322/714 is 1/2594676

Least Common Multiple of 68,79,161,714 with GCF Formula

Least Common Multiple of 68,79,161,714 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 68,79,161,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,79,161,714) = 1

common factors(in case of two or more numbers have common factors) = 238

GCF(68,79,161,714) x common factors =1 x 238 = 238

LCM(68,79,161,714) = ( 68 × 79 × 161 × 714 ) / 238

LCM(68,79,161,714) = 617532888 / 238

LCM(68,79,161,714) = 2594676


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 1/68, 75/79, 14/161, 322/714

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 1/68, 75/79, 14/161, 322/714?

Answer: GCF of Numerators as per given numbers 1/68, 75/79, 14/161, 322/714 is

GCF of Numerators i.e. for 1,75,14,322 is 1

LCM of denominators i.e. for 68,79,161,714 is 2594676.

Thus, GCF of Fractions is 1/2594676.Finally, GCF of Fractions for 1/68, 75/79, 14/161, 322/714 is 1/2594676.