How to Find GCF of 18/72, 37/733, 727/672?

GCF of 18/72, 37/733, 727/672

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 18/72, 37/733, 727/672 i.e 1/1477728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/72, 37/733, 727/672.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 18/72,37/733,727/672?

Given fractions are 18/72,37/733,727/672

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 18/72,37/733,727/672, numerators are 18,37,727

Denominators are 72,733,672

The GCF of 18,37,727 is 1 .

LCM of 72,733,672 is 1477728.

The greatest common factor of 18/72,37/733,727/672 = [GCF of 18,37,727]/[LCM of 72,733,672]= 1/1477728

Therefore, the GCF of 18/72,37/733,727/672 is 1/1477728.

Greatest Common Factor of 18,37,727

To find the highest common factor of 18,37,727, we have to find the factors of both numbers and list the highest common factor.

The factors of 18 are 1, 2, 3, 6, 9, 18

The factors of 37 are 1, 37

The factors of 727 are 1, 727

The HCF of 18,37,727 is 1.

Lets's calculate GCF of 18,37,727

Greatest Common Factor (GCF) of 18,37,727 By Common Division

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

Greatest Common Factor of 18,37,727 By Matching Biggest Common Factor Method

Now, list down the factors of 18

1,2,3,6,9,18

Now, list down the factors of 37

1,37

Now, list down the factors of 727

1,727

Greatest Common Factor

We found the factors 18,37,727 . The biggest common factor number is the GCF number.
So the greatest common factor 18,37,727 is 1.

Lets's calculate LCM of 72,733,672

Lowest Common Multiple of 72,733,672 using Common Division

2	72, 733, 672
2	36, 733, 336
2	18, 733, 168
3	9, 733, 84
	3, 733, 28

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 733 x 28 = 1477728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1477728

Therefore, the GCF of Fractions 18/72,37/733,727/672 is 1/1477728

Least Common Multiple of 72,733,672 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 72,733,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,733,672) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(72,733,672) x common factors =1 x 24 = 24

LCM(72,733,672) = ( 72 × 733 × 672 ) / 24

LCM(72,733,672) = 35465472 / 24

LCM(72,733,672) = 1477728

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 18/72, 37/733, 727/672

1. What is the HCF of 18,37,727?

The HCF of 18,37,727 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 18/72, 37/733, 727/672?

Answer: GCF of Numerators as per given numbers 18/72, 37/733, 727/672 is

GCF of Numerators i.e. for 18,37,727 is 1

LCM of denominators i.e. for 72,733,672 is 1477728.

Thus, GCF of Fractions is 1/1477728.Finally, GCF of Fractions for 18/72, 37/733, 727/672 is 1/1477728.