How to Find GCF of 555/60, 212/43, 328/16?

GCF of 555/60, 212/43, 328/16

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 555/60, 212/43, 328/16 i.e 1/10320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/60, 212/43, 328/16.

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 555/60,212/43,328/16?

Given fractions are 555/60,212/43,328/16

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 555/60,212/43,328/16, numerators are 555,212,328

Denominators are 60,43,16

The GCF of 555,212,328 is 1 .

LCM of 60,43,16 is 10320.

The greatest common factor of 555/60,212/43,328/16 = [GCF of 555,212,328]/[LCM of 60,43,16]= 1/10320

Therefore, the GCF of 555/60,212/43,328/16 is 1/10320.

Greatest Common Factor of 555,212,328

To find the highest common factor of 555,212,328, we have to find the factors of both numbers and list the highest common factor.

The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555

The factors of 212 are 1, 2, 4, 53, 106, 212

The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328

The HCF of 555,212,328 is 1.

Lets's calculate GCF of 555,212,328

Greatest Common Factor (GCF) of 555,212,328 By Common Division

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

Greatest Common Factor of 555,212,328 By Matching Biggest Common Factor Method

Now, list down the factors of 555

1,3,5,15,37,111,185,555

Now, list down the factors of 212

1,2,4,53,106,212

Now, list down the factors of 328

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 555,212,328 . The biggest common factor number is the GCF number.
So the greatest common factor 555,212,328 is 1.

Lets's calculate LCM of 60,43,16

Lowest Common Multiple of 60,43,16 using Common Division

2	60, 43, 16
2	30, 43, 8
	15, 43, 4

∴ So the LCM of the given numbers is 2 x 2 x 15 x 43 x 4 = 10320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10320

Therefore, the GCF of Fractions 555/60,212/43,328/16 is 1/10320

Least Common Multiple of 60,43,16 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 60,43,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,43,16) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(60,43,16) x common factors =1 x 4 = 4

LCM(60,43,16) = ( 60 × 43 × 16 ) / 4

LCM(60,43,16) = 41280 / 4

LCM(60,43,16) = 10320

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FAQs on GCF of Fractions of 555/60, 212/43, 328/16

1. What is the HCF of 555,212,328?

The HCF of 555,212,328 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 555/60, 212/43, 328/16?

Answer: GCF of Numerators as per given numbers 555/60, 212/43, 328/16 is

GCF of Numerators i.e. for 555,212,328 is 1

LCM of denominators i.e. for 60,43,16 is 10320.

Thus, GCF of Fractions is 1/10320.Finally, GCF of Fractions for 555/60, 212/43, 328/16 is 1/10320.