GCD of 507, 122, 77, 200 Calculator

Given Input numbers are 507, 122, 77, 200

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 507, 122, 77, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 122, 77, 200 is 1.

Therefore, GCD of numbers 507, 122, 77, 200 is 1

Given Input Data is 507, 122, 77, 200

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 122 is 2 x 61

Prime Factorization of 77 is 7 x 11

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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(507, 122) = 61854

GCD(507, 122) = ( 507 x 122 ) / 61854

GCD(507, 122) = 61854 / 61854

GCD(507, 122) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 507, 122, 77, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 203, 91, 556
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• GCD of 586, 874, 56, 101
• GCD of 862, 961, 66, 673
• GCD of 753, 930, 49, 298

1. What is the GCD of 507, 122, 77, 200?

GCD of 507, 122, 77, 200 is 1

2. Where do I get the detailed procedure to find GCD of 507, 122, 77, 200?

You can find a detailed procedure to find GCD of 507, 122, 77, 200 on our page.

3. How to find GCD of 507, 122, 77, 200 on a calculator?

You can find the GCD of 507, 122, 77, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.