GCD of 187, 654, 972, 354 Calculator

Given Input numbers are 187, 654, 972, 354

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 187, 654, 972, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 654, 972, 354 is 1.

Therefore, GCD of numbers 187, 654, 972, 354 is 1

Given Input Data is 187, 654, 972, 354

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 354 is 2 x 3 x 59

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(187, 654) = 122298

GCD(187, 654) = ( 187 x 654 ) / 122298

GCD(187, 654) = 122298 / 122298

GCD(187, 654) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 187, 654, 972, 354 is 1

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1. What is the GCD of 187, 654, 972, 354?

GCD of 187, 654, 972, 354 is 1

2. Where do I get the detailed procedure to find GCD of 187, 654, 972, 354?

You can find a detailed procedure to find GCD of 187, 654, 972, 354 on our page.

3. How to find GCD of 187, 654, 972, 354 on a calculator?

You can find the GCD of 187, 654, 972, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.