Greatest Common Factor of 489/91, 506/77, 487/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 489/91, 506/77, 487/33

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 489/91,506/77,487/33

Given fractions are 489/91,506/77,487/33

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 489,506,487

Greatest Common Factor of Numerators i.e. GCF of 489,506,487 is 1 .

LCM of Denominators means LCM of 91,77,33 as per the given fractions.

LCM of 91,77,33 is 3003 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 489,506,487

GCF of Fractions 489/91,506/77,487/33 is 1/3003

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

Greatest Common Factor of 489,506,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,506,487 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors 489,506,487 . The biggest common factor number is the GCF number.
So the greatest common factor 489,506,487 is 1.

Lets's calculate LCM of 91,77,33

7 91, 77, 33
11 13, 11, 33
13, 1, 3

∴ So the LCM of the given numbers is 7 x 11 x 13 x 1 x 3 = 3003

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3003

Therefore, the GCF of Fractions 489/91,506/77,487/33 is 1/3003

Least Common Multiple of 91,77,33 with GCF Formula

Least Common Multiple of 91,77,33 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 91,77,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,77,33) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(91,77,33) x common factors =1 x 77 = 77

LCM(91,77,33) = ( 91 × 77 × 33 ) / 77

LCM(91,77,33) = 231231 / 77

LCM(91,77,33) = 3003


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 489/91, 506/77, 487/33

1. 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.

2. What is the GCF of Fractions for 489/91, 506/77, 487/33?

Answer: GCF of Numerators as per given numbers 489/91, 506/77, 487/33 is

GCF of Numerators i.e. for 489,506,487 is 1

LCM of denominators i.e. for 91,77,33 is 3003.

Thus, GCF of Fractions is 1/3003.Finally, GCF of Fractions for 489/91, 506/77, 487/33 is 1/3003.