GCD of 464, 924, 147 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 464, 924, 147 i.e. 1 largest integer that divides all the numbers equally.

GCD of 464, 924, 147 is 1

GCD(464, 924, 147) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 464, 924, 147 is 1

GCD(464, 924, 147) = 1

GCD of 464,924,147 Calculator

GCDof 464,924,147 is 1

Given Input numbers are 464, 924, 147

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 464, 924, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 924, 147 is 1.

Therefore, GCD of numbers 464, 924, 147 is 1

Finding GCD of 464, 924, 147 using Prime Factorization

Given Input Data is 464, 924, 147

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 147 is 3 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 464, 924, 147 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(464, 924) = 107184

GCD(464, 924) = ( 464 x 924 ) / 107184

GCD(464, 924) = 428736 / 107184

GCD(464, 924) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 147

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 147) = 588

GCD(4, 147) = ( 4 x 147 ) / 588

GCD(4, 147) = 588 / 588

GCD(4, 147) = 1

GCD of 464, 924, 147 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 464, 924, 147

1. What is the GCD of 464, 924, 147?

GCD of 464, 924, 147 is 1

2. Where do I get the detailed procedure to find GCD of 464, 924, 147?

You can find a detailed procedure to find GCD of 464, 924, 147 on our page.

3. How to find GCD of 464, 924, 147 on a calculator?

You can find the GCD of 464, 924, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.