GCD of 217, 657, 84, 952 Calculator

Given Input numbers are 217, 657, 84, 952

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 217, 657, 84, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 657, 84, 952 is 1.

Therefore, GCD of numbers 217, 657, 84, 952 is 1

Given Input Data is 217, 657, 84, 952

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(217, 657) = 142569

GCD(217, 657) = ( 217 x 657 ) / 142569

GCD(217, 657) = 142569 / 142569

GCD(217, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 217, 657, 84, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 952, 25, 235
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• GCD of 894, 480, 26, 124
• GCD of 557, 622, 57, 178

1. What is the GCD of 217, 657, 84, 952?

GCD of 217, 657, 84, 952 is 1

2. Where do I get the detailed procedure to find GCD of 217, 657, 84, 952?

You can find a detailed procedure to find GCD of 217, 657, 84, 952 on our page.

3. How to find GCD of 217, 657, 84, 952 on a calculator?

You can find the GCD of 217, 657, 84, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.