GCD of 565, 274, 84, 737 Calculator

Given Input numbers are 565, 274, 84, 737

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

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 737

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

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 565, 274, 84, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 274, 84, 737 is 1.

Therefore, GCD of numbers 565, 274, 84, 737 is 1

Given Input Data is 565, 274, 84, 737

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 274 is 2 x 137

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

Prime Factorization of 737 is 11 x 67

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(565, 274) = 154810

GCD(565, 274) = ( 565 x 274 ) / 154810

GCD(565, 274) = 154810 / 154810

GCD(565, 274) = 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 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

GCD of 565, 274, 84, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 157, 70, 388
• GCD of 924, 201, 44, 256
• GCD of 752, 972, 78, 605
• GCD of 200, 140, 44, 668
• GCD of 636, 218, 19, 780

1. What is the GCD of 565, 274, 84, 737?

GCD of 565, 274, 84, 737 is 1

2. Where do I get the detailed procedure to find GCD of 565, 274, 84, 737?

You can find a detailed procedure to find GCD of 565, 274, 84, 737 on our page.

3. How to find GCD of 565, 274, 84, 737 on a calculator?

You can find the GCD of 565, 274, 84, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.