GCD of 335, 456, 76, 422 Calculator

Given Input numbers are 335, 456, 76, 422

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

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

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 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 335, 456, 76, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 335, 456, 76, 422 is 1.

Therefore, GCD of numbers 335, 456, 76, 422 is 1

Given Input Data is 335, 456, 76, 422

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

Prime Factorization of 335 is 5 x 67

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 422 is 2 x 211

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(335, 456) = 152760

GCD(335, 456) = ( 335 x 456 ) / 152760

GCD(335, 456) = 152760 / 152760

GCD(335, 456) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 335, 456, 76, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 360, 26, 879
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• GCD of 486, 983, 51, 159
• GCD of 420, 327, 91, 553
• GCD of 705, 256, 65, 124

1. What is the GCD of 335, 456, 76, 422?

GCD of 335, 456, 76, 422 is 1

2. Where do I get the detailed procedure to find GCD of 335, 456, 76, 422?

You can find a detailed procedure to find GCD of 335, 456, 76, 422 on our page.

3. How to find GCD of 335, 456, 76, 422 on a calculator?

You can find the GCD of 335, 456, 76, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.