GCD of 506, 770, 91, 364 Calculator

Given Input numbers are 506, 770, 91, 364

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 506, 770, 91, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 770, 91, 364 is 1.

Therefore, GCD of numbers 506, 770, 91, 364 is 1

Given Input Data is 506, 770, 91, 364

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 91 is 7 x 13

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(506, 770) = 17710

GCD(506, 770) = ( 506 x 770 ) / 17710

GCD(506, 770) = 389620 / 17710

GCD(506, 770) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 91

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

LCM(22, 91) = 2002

GCD(22, 91) = ( 22 x 91 ) / 2002

GCD(22, 91) = 2002 / 2002

GCD(22, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 506, 770, 91, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 208, 97, 917
• GCD of 261, 156, 56, 153
• GCD of 674, 207, 64, 382
• GCD of 892, 370, 75, 234
• GCD of 243, 435, 11, 249

1. What is the GCD of 506, 770, 91, 364?

GCD of 506, 770, 91, 364 is 1

2. Where do I get the detailed procedure to find GCD of 506, 770, 91, 364?

You can find a detailed procedure to find GCD of 506, 770, 91, 364 on our page.

3. How to find GCD of 506, 770, 91, 364 on a calculator?

You can find the GCD of 506, 770, 91, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.