How to Find GCF of 60/93, 60/30, 491/593?

GCF of 60/93, 60/30, 491/593

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 60/93, 60/30, 491/593 i.e 1/551490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/93, 60/30, 491/593.

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 60/93,60/30,491/593?

Given fractions are 60/93,60/30,491/593

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 60/93,60/30,491/593, numerators are 60,60,491

Denominators are 93,30,593

The GCF of 60,60,491 is 1 .

LCM of 93,30,593 is 551490.

The greatest common factor of 60/93,60/30,491/593 = [GCF of 60,60,491]/[LCM of 93,30,593]= 1/551490

Therefore, the GCF of 60/93,60/30,491/593 is 1/551490.

Greatest Common Factor of 60,60,491

To find the highest common factor of 60,60,491, we have to find the factors of both numbers and list the highest common factor.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 491 are 1, 491

The HCF of 60,60,491 is 1.

Lets's calculate GCF of 60,60,491

Greatest Common Factor (GCF) of 60,60,491 By Common Division

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

Greatest Common Factor of 60,60,491 By Matching Biggest Common Factor Method

Now, list down the factors of 60

1,2,3,4,5,6,10,12,15,20,30,60

Now, list down the factors of 60

1,2,3,4,5,6,10,12,15,20,30,60

Now, list down the factors of 491

1,491

Greatest Common Factor

We found the factors 60,60,491 . The biggest common factor number is the GCF number.
So the greatest common factor 60,60,491 is 1.

Lets's calculate LCM of 93,30,593

Lowest Common Multiple of 93,30,593 using Common Division

3	93, 30, 593
	31, 10, 593

∴ So the LCM of the given numbers is 3 x 31 x 10 x 593 = 551490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/551490

Therefore, the GCF of Fractions 60/93,60/30,491/593 is 1/551490

Least Common Multiple of 93,30,593 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 93,30,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,30,593) = 1

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

GCF(93,30,593) x common factors =1 x 3 = 3

LCM(93,30,593) = ( 93 × 30 × 593 ) / 3

LCM(93,30,593) = 1654470 / 3

LCM(93,30,593) = 551490

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 60/93, 60/30, 491/593

1. What is the HCF of 60,60,491?

The HCF of 60,60,491 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 60/93, 60/30, 491/593?

Answer: GCF of Numerators as per given numbers 60/93, 60/30, 491/593 is

GCF of Numerators i.e. for 60,60,491 is 1

LCM of denominators i.e. for 93,30,593 is 551490.

Thus, GCF of Fractions is 1/551490.Finally, GCF of Fractions for 60/93, 60/30, 491/593 is 1/551490.