GCD of 737, 362, 772, 756 Calculator

Given Input numbers are 737, 362, 772, 756

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 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 737, 362, 772, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 362, 772, 756 is 1.

Therefore, GCD of numbers 737, 362, 772, 756 is 1

Given Input Data is 737, 362, 772, 756

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

Prime Factorization of 737 is 11 x 67

Prime Factorization of 362 is 2 x 181

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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, 362) = 266794

GCD(737, 362) = ( 737 x 362 ) / 266794

GCD(737, 362) = 266794 / 266794

GCD(737, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 737, 362, 772, 756 is 1

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1. What is the GCD of 737, 362, 772, 756?

GCD of 737, 362, 772, 756 is 1

2. Where do I get the detailed procedure to find GCD of 737, 362, 772, 756?

You can find a detailed procedure to find GCD of 737, 362, 772, 756 on our page.

3. How to find GCD of 737, 362, 772, 756 on a calculator?

You can find the GCD of 737, 362, 772, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.