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GCF of 489/295, 522/573

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 489/295, 522/573 i.e 3/169035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 489/295, 522/573.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 489/295,522/573?

Given fractions are 489/295,522/573

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 489/295,522/573, numerators are 489,522

Denominators are 295,573

The GCF of 489,522 is 3 .

LCM of 295,573 is 169035.

The greatest common factor of 489/295,522/573 = [GCF of 489,522]/[LCM of 295,573]= 3/169035

Therefore, the GCF of 489/295,522/573 is 3/169035.

Greatest Common Factor of 489,522

To find the highest common factor of 489,522, we have to find the factors of both numbers and list the highest common factor.

The factors of 489 are 1, 3, 163, 489

The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

The HCF of 489,522 is 3.

Lets's calculate GCF of 489,522

Greatest Common Factor (GCF) of 489,522 By Common Division

3 489, 522
163, 174

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 489,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,522 By Matching Biggest Common Factor Method

Now, list down the factors of 489

:

1,3,163,489

Now, list down the factors of 522

:

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 489,522 . The biggest common factor number is the GCF number.
So the greatest common factor 489,522 is 3.

Lets's calculate LCM of 295,573

Lowest Common Multiple of 295,573 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 169035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/169035

Therefore, the GCF of Fractions 489/295,522/573 is 3/169035

Least Common Multiple of 295,573 with GCF Formula

Least Common Multiple of 295,573 with GCF Formula

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

We need to calculate greatest common factor of 295,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,573) = 1

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

GCF(295,573) x common factors =1 x 1 = 1

LCM(295,573) = ( 295 × 573 ) / 1

LCM(295,573) = 169035 / 1

LCM(295,573) = 169035


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FAQs on GCF of Fractions of 489/295, 522/573

1. What is the HCF of 489,522?

The HCF of 489,522 is 3

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 489/295, 522/573?

Answer: GCF of Numerators as per given numbers 489/295, 522/573 is

GCF of Numerators i.e. for 489,522 is 3

LCM of denominators i.e. for 295,573 is 169035.

Thus, GCF of Fractions is 3/169035.Finally, GCF of Fractions for 489/295, 522/573 is 3/169035.