GCD of 147, 678, 731, 924 Calculator

Given Input numbers are 147, 678, 731, 924

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

Divisors of 147

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

1, 3, 7, 21, 49, 147

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

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

Greatest Common Divisior

We found the divisors of 147, 678, 731, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 678, 731, 924 is 1.

Therefore, GCD of numbers 147, 678, 731, 924 is 1

Given Input Data is 147, 678, 731, 924

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 731 is 17 x 43

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

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

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(147, 678) = 33222

GCD(147, 678) = ( 147 x 678 ) / 33222

GCD(147, 678) = 99666 / 33222

GCD(147, 678) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 731

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

LCM(3, 731) = 2193

GCD(3, 731) = ( 3 x 731 ) / 2193

GCD(3, 731) = 2193 / 2193

GCD(3, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 147, 678, 731, 924 is 1

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1. What is the GCD of 147, 678, 731, 924?

GCD of 147, 678, 731, 924 is 1

2. Where do I get the detailed procedure to find GCD of 147, 678, 731, 924?

You can find a detailed procedure to find GCD of 147, 678, 731, 924 on our page.

3. How to find GCD of 147, 678, 731, 924 on a calculator?

You can find the GCD of 147, 678, 731, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.