GCD of 598, 655, 670, 822 Calculator

Given Input numbers are 598, 655, 670, 822

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 598, 655, 670, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 655, 670, 822 is 1.

Therefore, GCD of numbers 598, 655, 670, 822 is 1

Given Input Data is 598, 655, 670, 822

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 655 is 5 x 131

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 822 is 2 x 3 x 137

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(598, 655) = 391690

GCD(598, 655) = ( 598 x 655 ) / 391690

GCD(598, 655) = 391690 / 391690

GCD(598, 655) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

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

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 598, 655, 670, 822 is 1

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1. What is the GCD of 598, 655, 670, 822?

GCD of 598, 655, 670, 822 is 1

2. Where do I get the detailed procedure to find GCD of 598, 655, 670, 822?

You can find a detailed procedure to find GCD of 598, 655, 670, 822 on our page.

3. How to find GCD of 598, 655, 670, 822 on a calculator?

You can find the GCD of 598, 655, 670, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.