Greatest Common Factor of 68/67, 726/21, 514/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/67, 726/21, 514/272

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 68/67,726/21,514/272

Given fractions are 68/67,726/21,514/272

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 68,726,514

Greatest Common Factor of Numerators i.e. GCF of 68,726,514 is 2 .

LCM of Denominators means LCM of 67,21,272 as per the given fractions.

LCM of 67,21,272 is 382704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,726,514

GCF of Fractions 68/67,726/21,514/272 is 2/382704

2 68, 726, 514
34, 363, 257

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 68,726,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,726,514 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 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 68,726,514 . The biggest common factor number is the GCF number.
So the greatest common factor 68,726,514 is 2.

Lets's calculate LCM of 67,21,272

Given numbers has no common factors except 1. So, there LCM is their product i.e 382704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/382704

Therefore, the GCF of Fractions 68/67,726/21,514/272 is 2/382704

Least Common Multiple of 67,21,272 with GCF Formula

Least Common Multiple of 67,21,272 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 67,21,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,21,272) = 1

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

GCF(67,21,272) x common factors =1 x 1 = 1

LCM(67,21,272) = ( 67 × 21 × 272 ) / 1

LCM(67,21,272) = 382704 / 1

LCM(67,21,272) = 382704


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 68/67, 726/21, 514/272

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 68/67, 726/21, 514/272?

Answer: GCF of Numerators as per given numbers 68/67, 726/21, 514/272 is

GCF of Numerators i.e. for 68,726,514 is 2

LCM of denominators i.e. for 67,21,272 is 382704.

Thus, GCF of Fractions is 2/382704.Finally, GCF of Fractions for 68/67, 726/21, 514/272 is 2/382704.