How to Find GCF of 594/89, 180/665?

GCF of 594/89, 180/665

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 594/89, 180/665 i.e 18/59185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 594/89, 180/665.

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 594/89,180/665?

Given fractions are 594/89,180/665

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 594/89,180/665, numerators are 594,180

Denominators are 89,665

The GCF of 594,180 is 18 .

LCM of 89,665 is 59185.

The greatest common factor of 594/89,180/665 = [GCF of 594,180]/[LCM of 89,665]= 18/59185

Therefore, the GCF of 594/89,180/665 is 18/59185.

Greatest Common Factor of 594,180

To find the highest common factor of 594,180, we have to find the factors of both numbers and list the highest common factor.

The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The HCF of 594,180 is 18.

Lets's calculate GCF of 594,180

Greatest Common Factor (GCF) of 594,180 By Common Division

2	594, 180
3	297, 90
3	99, 30
	33, 10

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

Greatest Common Factor of 594,180 By Matching Biggest Common Factor Method

Now, list down the factors of 594

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Now, list down the factors of 180

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 594,180 . The biggest common factor number is the GCF number.
So the greatest common factor 594,180 is 18.

Lets's calculate LCM of 89,665

Lowest Common Multiple of 89,665 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 59185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/59185

Therefore, the GCF of Fractions 594/89,180/665 is 18/59185

Least Common Multiple of 89,665 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 89,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,665) = 1

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

GCF(89,665) x common factors =1 x 1 = 1

LCM(89,665) = ( 89 × 665 ) / 1

LCM(89,665) = 59185 / 1

LCM(89,665) = 59185

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FAQs on GCF of Fractions of 594/89, 180/665

1. What is the HCF of 594,180?

The HCF of 594,180 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 594/89, 180/665?

Answer: GCF of Numerators as per given numbers 594/89, 180/665 is

GCF of Numerators i.e. for 594,180 is 18

LCM of denominators i.e. for 89,665 is 59185.

Thus, GCF of Fractions is 18/59185.Finally, GCF of Fractions for 594/89, 180/665 is 18/59185.