Greatest Common Factor of 489/77, 933/32, 237/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 489/77, 933/32, 237/706

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 489/77,933/32,237/706

Given fractions are 489/77,933/32,237/706

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 489,933,237

Greatest Common Factor of Numerators i.e. GCF of 489,933,237 is 3 .

LCM of Denominators means LCM of 77,32,706 as per the given fractions.

LCM of 77,32,706 is 869792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 489,933,237

GCF of Fractions 489/77,933/32,237/706 is 3/869792

3 489, 933, 237
163, 311, 79

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

Greatest Common Factor of 489,933,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,933,237 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 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 489,933,237 . The biggest common factor number is the GCF number.
So the greatest common factor 489,933,237 is 3.

Lets's calculate LCM of 77,32,706

2 77, 32, 706
77, 16, 353

∴ So the LCM of the given numbers is 2 x 77 x 16 x 353 = 869792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/869792

Therefore, the GCF of Fractions 489/77,933/32,237/706 is 3/869792

Least Common Multiple of 77,32,706 with GCF Formula

Least Common Multiple of 77,32,706 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 77,32,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,32,706) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(77,32,706) x common factors =1 x 2 = 2

LCM(77,32,706) = ( 77 × 32 × 706 ) / 2

LCM(77,32,706) = 1739584 / 2

LCM(77,32,706) = 869792


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 489/77, 933/32, 237/706

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 489/77, 933/32, 237/706?

Answer: GCF of Numerators as per given numbers 489/77, 933/32, 237/706 is

GCF of Numerators i.e. for 489,933,237 is 3

LCM of denominators i.e. for 77,32,706 is 869792.

Thus, GCF of Fractions is 3/869792.Finally, GCF of Fractions for 489/77, 933/32, 237/706 is 3/869792.