GCD of 65, 456, 737, 997 Calculator

Given Input numbers are 65, 456, 737, 997

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 737

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

1, 11, 67, 737

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 65, 456, 737, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 456, 737, 997 is 1.

Therefore, GCD of numbers 65, 456, 737, 997 is 1

Given Input Data is 65, 456, 737, 997

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 737 is 11 x 67

Prime Factorization of 997 is 997

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(65, 456) = 29640

GCD(65, 456) = ( 65 x 456 ) / 29640

GCD(65, 456) = 29640 / 29640

GCD(65, 456) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 65, 456, 737, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 558, 154, 170
• GCD of 44, 191, 667, 260
• GCD of 78, 130, 387, 199
• GCD of 61, 124, 988, 131
• GCD of 75, 778, 784, 428

1. What is the GCD of 65, 456, 737, 997?

GCD of 65, 456, 737, 997 is 1

2. Where do I get the detailed procedure to find GCD of 65, 456, 737, 997?

You can find a detailed procedure to find GCD of 65, 456, 737, 997 on our page.

3. How to find GCD of 65, 456, 737, 997 on a calculator?

You can find the GCD of 65, 456, 737, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.