GCD of 217, 368, 35, 122 Calculator

Given Input numbers are 217, 368, 35, 122

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 35

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

1, 5, 7, 35

Divisors of 122

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

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 217, 368, 35, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 368, 35, 122 is 1.

Therefore, GCD of numbers 217, 368, 35, 122 is 1

Given Input Data is 217, 368, 35, 122

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 35 is 5 x 7

Prime Factorization of 122 is 2 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(217, 368) = 79856

GCD(217, 368) = ( 217 x 368 ) / 79856

GCD(217, 368) = 79856 / 79856

GCD(217, 368) = 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 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 217, 368, 35, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 187, 34, 352
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• GCD of 887, 424, 67, 553
• GCD of 471, 667, 60, 600
• GCD of 759, 219, 66, 228

1. What is the GCD of 217, 368, 35, 122?

GCD of 217, 368, 35, 122 is 1

2. Where do I get the detailed procedure to find GCD of 217, 368, 35, 122?

You can find a detailed procedure to find GCD of 217, 368, 35, 122 on our page.

3. How to find GCD of 217, 368, 35, 122 on a calculator?

You can find the GCD of 217, 368, 35, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.