How to Find GCF of 558/171, 990/284?

GCF of 558/171, 990/284

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 558/171, 990/284 i.e 18/48564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 558/171, 990/284.

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 558/171,990/284?

Given fractions are 558/171,990/284

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 558/171,990/284, numerators are 558,990

Denominators are 171,284

The GCF of 558,990 is 18 .

LCM of 171,284 is 48564.

The greatest common factor of 558/171,990/284 = [GCF of 558,990]/[LCM of 171,284]= 18/48564

Therefore, the GCF of 558/171,990/284 is 18/48564.

Greatest Common Factor of 558,990

To find the highest common factor of 558,990, we have to find the factors of both numbers and list the highest common factor.

The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

The HCF of 558,990 is 18.

Lets's calculate GCF of 558,990

Greatest Common Factor (GCF) of 558,990 By Common Division

2	558, 990
3	279, 495
3	93, 165
	31, 55

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 558,990 By Matching Biggest Common Factor Method

Now, list down the factors of 558

1,2,3,6,9,18,31,62,93,186,279,558

Now, list down the factors of 990

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 558,990 . The biggest common factor number is the GCF number.
So the greatest common factor 558,990 is 18.

Lets's calculate LCM of 171,284

Lowest Common Multiple of 171,284 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 48564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/48564

Therefore, the GCF of Fractions 558/171,990/284 is 18/48564

Least Common Multiple of 171,284 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 171,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,284) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(171,284) x common factors =1 x 1 = 1

LCM(171,284) = ( 171 × 284 ) / 1

LCM(171,284) = 48564 / 1

LCM(171,284) = 48564

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FAQs on GCF of Fractions of 558/171, 990/284

1. What is the HCF of 558,990?

The HCF of 558,990 is 18

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 558/171, 990/284?

Answer: GCF of Numerators as per given numbers 558/171, 990/284 is

GCF of Numerators i.e. for 558,990 is 18

LCM of denominators i.e. for 171,284 is 48564.

Thus, GCF of Fractions is 18/48564.Finally, GCF of Fractions for 558/171, 990/284 is 18/48564.