GCD of 362, 562, 35, 854 Calculator

Given Input numbers are 362, 562, 35, 854

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 35

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

1, 5, 7, 35

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 362, 562, 35, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 562, 35, 854 is 1.

Therefore, GCD of numbers 362, 562, 35, 854 is 1

Given Input Data is 362, 562, 35, 854

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 562 is 2 x 281

Prime Factorization of 35 is 5 x 7

Prime Factorization of 854 is 2 x 7 x 61

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(362, 562) = 101722

GCD(362, 562) = ( 362 x 562 ) / 101722

GCD(362, 562) = 203444 / 101722

GCD(362, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 362, 562, 35, 854 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 106, 85, 707
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• GCD of 494, 666, 32, 817
• GCD of 281, 416, 22, 389
• GCD of 323, 260, 87, 473

1. What is the GCD of 362, 562, 35, 854?

GCD of 362, 562, 35, 854 is 1

2. Where do I get the detailed procedure to find GCD of 362, 562, 35, 854?

You can find a detailed procedure to find GCD of 362, 562, 35, 854 on our page.

3. How to find GCD of 362, 562, 35, 854 on a calculator?

You can find the GCD of 362, 562, 35, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.