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GCF of 489/66, 354/479

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 489/66, 354/479 i.e 3/31614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 489/66, 354/479.

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 489/66,354/479?

Given fractions are 489/66,354/479

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 489/66,354/479, numerators are 489,354

Denominators are 66,479

The GCF of 489,354 is 3 .

LCM of 66,479 is 31614.

The greatest common factor of 489/66,354/479 = [GCF of 489,354]/[LCM of 66,479]= 3/31614

Therefore, the GCF of 489/66,354/479 is 3/31614.

Greatest Common Factor of 489,354

To find the highest common factor of 489,354, 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 354 are 1, 2, 3, 6, 59, 118, 177, 354

The HCF of 489,354 is 3.

Lets's calculate GCF of 489,354

Greatest Common Factor (GCF) of 489,354 By Common Division

3 489, 354
163, 118

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

Greatest Common Factor of 489,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,354 By Matching Biggest Common Factor Method

Now, list down the factors of 489

:

1,3,163,489

Now, list down the factors of 354

:

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 489,354 . The biggest common factor number is the GCF number.
So the greatest common factor 489,354 is 3.

Lets's calculate LCM of 66,479

Lowest Common Multiple of 66,479 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 31614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/31614

Therefore, the GCF of Fractions 489/66,354/479 is 3/31614

Least Common Multiple of 66,479 with GCF Formula

Least Common Multiple of 66,479 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 66,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,479) = 1

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

GCF(66,479) x common factors =1 x 1 = 1

LCM(66,479) = ( 66 × 479 ) / 1

LCM(66,479) = 31614 / 1

LCM(66,479) = 31614


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FAQs on GCF of Fractions of 489/66, 354/479

1. What is the HCF of 489,354?

The HCF of 489,354 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 489/66, 354/479?

Answer: GCF of Numerators as per given numbers 489/66, 354/479 is

GCF of Numerators i.e. for 489,354 is 3

LCM of denominators i.e. for 66,479 is 31614.

Thus, GCF of Fractions is 3/31614.Finally, GCF of Fractions for 489/66, 354/479 is 3/31614.