Greatest Common Factor of 68/54, 67/17, 422/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/54, 67/17, 422/681

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 68/54,67/17,422/681

Given fractions are 68/54,67/17,422/681

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 68,67,422

Greatest Common Factor of Numerators i.e. GCF of 68,67,422 is 1 .

LCM of Denominators means LCM of 54,17,681 as per the given fractions.

LCM of 54,17,681 is 208386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,67,422

GCF of Fractions 68/54,67/17,422/681 is 1/208386

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

Greatest Common Factor of 68,67,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,67,422 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 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 68,67,422 . The biggest common factor number is the GCF number.
So the greatest common factor 68,67,422 is 1.

Lets's calculate LCM of 54,17,681

3 54, 17, 681
18, 17, 227

∴ So the LCM of the given numbers is 3 x 18 x 17 x 227 = 208386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208386

Therefore, the GCF of Fractions 68/54,67/17,422/681 is 1/208386

Least Common Multiple of 54,17,681 with GCF Formula

Least Common Multiple of 54,17,681 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 54,17,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,17,681) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(54,17,681) x common factors =1 x 3 = 3

LCM(54,17,681) = ( 54 × 17 × 681 ) / 3

LCM(54,17,681) = 625158 / 3

LCM(54,17,681) = 208386


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 68/54, 67/17, 422/681

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 68/54, 67/17, 422/681?

Answer: GCF of Numerators as per given numbers 68/54, 67/17, 422/681 is

GCF of Numerators i.e. for 68,67,422 is 1

LCM of denominators i.e. for 54,17,681 is 208386.

Thus, GCF of Fractions is 1/208386.Finally, GCF of Fractions for 68/54, 67/17, 422/681 is 1/208386.