GCD of 712, 409, 35, 622 Calculator

Given Input numbers are 712, 409, 35, 622

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 712, 409, 35, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 409, 35, 622 is 1.

Therefore, GCD of numbers 712, 409, 35, 622 is 1

Given Input Data is 712, 409, 35, 622

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 409 is 409

Prime Factorization of 35 is 5 x 7

Prime Factorization of 622 is 2 x 311

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(712, 409) = 291208

GCD(712, 409) = ( 712 x 409 ) / 291208

GCD(712, 409) = 291208 / 291208

GCD(712, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 622

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

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

GCD(1, 622) = 622 / 622

GCD(1, 622) = 1

GCD of 712, 409, 35, 622 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 165, 35, 267
• GCD of 128, 501, 33, 106
• GCD of 491, 475, 11, 238
• GCD of 757, 249, 25, 207
• GCD of 941, 756, 42, 219

1. What is the GCD of 712, 409, 35, 622?

GCD of 712, 409, 35, 622 is 1

2. Where do I get the detailed procedure to find GCD of 712, 409, 35, 622?

You can find a detailed procedure to find GCD of 712, 409, 35, 622 on our page.

3. How to find GCD of 712, 409, 35, 622 on a calculator?

You can find the GCD of 712, 409, 35, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.