GCD of 737, 216, 83, 658 Calculator

Given Input numbers are 737, 216, 83, 658

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

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 737, 216, 83, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 216, 83, 658 is 1.

Therefore, GCD of numbers 737, 216, 83, 658 is 1

Given Input Data is 737, 216, 83, 658

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

Prime Factorization of 737 is 11 x 67

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 83 is 83

Prime Factorization of 658 is 2 x 7 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(737, 216) = 159192

GCD(737, 216) = ( 737 x 216 ) / 159192

GCD(737, 216) = 159192 / 159192

GCD(737, 216) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 737, 216, 83, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 812, 362, 65, 688
• GCD of 433, 376, 61, 633
• GCD of 618, 412, 74, 469
• GCD of 110, 586, 70, 267
• GCD of 339, 216, 88, 632

1. What is the GCD of 737, 216, 83, 658?

GCD of 737, 216, 83, 658 is 1

2. Where do I get the detailed procedure to find GCD of 737, 216, 83, 658?

You can find a detailed procedure to find GCD of 737, 216, 83, 658 on our page.

3. How to find GCD of 737, 216, 83, 658 on a calculator?

You can find the GCD of 737, 216, 83, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.