GCD of 237, 147, 103, 564 Calculator

Given Input numbers are 237, 147, 103, 564

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

Divisors of 237

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

1, 3, 79, 237

Divisors of 147

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

1, 3, 7, 21, 49, 147

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 237, 147, 103, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 147, 103, 564 is 1.

Therefore, GCD of numbers 237, 147, 103, 564 is 1

Given Input Data is 237, 147, 103, 564

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 103 is 103

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(237, 147) = 11613

GCD(237, 147) = ( 237 x 147 ) / 11613

GCD(237, 147) = 34839 / 11613

GCD(237, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 103

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

LCM(3, 103) = 309

GCD(3, 103) = ( 3 x 103 ) / 309

GCD(3, 103) = 309 / 309

GCD(3, 103) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 237, 147, 103, 564 is 1

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1. What is the GCD of 237, 147, 103, 564?

GCD of 237, 147, 103, 564 is 1

2. Where do I get the detailed procedure to find GCD of 237, 147, 103, 564?

You can find a detailed procedure to find GCD of 237, 147, 103, 564 on our page.

3. How to find GCD of 237, 147, 103, 564 on a calculator?

You can find the GCD of 237, 147, 103, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.