GCD of 97, 564, 198, 951 Calculator

Given Input numbers are 97, 564, 198, 951

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Greatest Common Divisior

We found the divisors of 97, 564, 198, 951 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 564, 198, 951 is 1.

Therefore, GCD of numbers 97, 564, 198, 951 is 1

Given Input Data is 97, 564, 198, 951

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

Prime Factorization of 97 is 97

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 951 is 3 x 317

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(97, 564) = 54708

GCD(97, 564) = ( 97 x 564 ) / 54708

GCD(97, 564) = 54708 / 54708

GCD(97, 564) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 951

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

LCM(1, 951) = 951

GCD(1, 951) = ( 1 x 951 ) / 951

GCD(1, 951) = 951 / 951

GCD(1, 951) = 1

GCD of 97, 564, 198, 951 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 989, 213, 928
• GCD of 30, 972, 587, 667
• GCD of 56, 800, 856, 224
• GCD of 16, 868, 991, 881
• GCD of 34, 332, 399, 974

1. What is the GCD of 97, 564, 198, 951?

GCD of 97, 564, 198, 951 is 1

2. Where do I get the detailed procedure to find GCD of 97, 564, 198, 951?

You can find a detailed procedure to find GCD of 97, 564, 198, 951 on our page.

3. How to find GCD of 97, 564, 198, 951 on a calculator?

You can find the GCD of 97, 564, 198, 951 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.