Greatest Common Factor of 67/24, 489/18, 526/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/24, 489/18, 526/675

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 67/24,489/18,526/675

Given fractions are 67/24,489/18,526/675

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 67,489,526

Greatest Common Factor of Numerators i.e. GCF of 67,489,526 is 1 .

LCM of Denominators means LCM of 24,18,675 as per the given fractions.

LCM of 24,18,675 is 5400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,489,526

GCF of Fractions 67/24,489/18,526/675 is 1/5400

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

Greatest Common Factor of 67,489,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,489,526 By Matching Biggest Common Factor Method

Factors of 67

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

1,67

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 67,489,526 . The biggest common factor number is the GCF number.
So the greatest common factor 67,489,526 is 1.

Lets's calculate LCM of 24,18,675

2 24, 18, 675
3 12, 9, 675
3 4, 3, 225
4, 1, 75

∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 1 x 75 = 5400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5400

Therefore, the GCF of Fractions 67/24,489/18,526/675 is 1/5400

Least Common Multiple of 24,18,675 with GCF Formula

Least Common Multiple of 24,18,675 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 24,18,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,18,675) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(24,18,675) x common factors =3 x 18 = 54

LCM(24,18,675) = ( 24 × 18 × 675 ) / 54

LCM(24,18,675) = 291600 / 54

LCM(24,18,675) = 5400


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 67/24, 489/18, 526/675

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 67/24, 489/18, 526/675?

Answer: GCF of Numerators as per given numbers 67/24, 489/18, 526/675 is

GCF of Numerators i.e. for 67,489,526 is 1

LCM of denominators i.e. for 24,18,675 is 5400.

Thus, GCF of Fractions is 1/5400.Finally, GCF of Fractions for 67/24, 489/18, 526/675 is 1/5400.