GCD of 568, 196, 402, 122 Calculator

Given Input numbers are 568, 196, 402, 122

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

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 568, 196, 402, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 196, 402, 122 is 2.

Therefore, GCD of numbers 568, 196, 402, 122 is 2

Given Input Data is 568, 196, 402, 122

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

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 122 is 2 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(568, 196) = 27832

GCD(568, 196) = ( 568 x 196 ) / 27832

GCD(568, 196) = 111328 / 27832

GCD(568, 196) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 402

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

LCM(4, 402) = 804

GCD(4, 402) = ( 4 x 402 ) / 804

GCD(4, 402) = 1608 / 804

GCD(4, 402) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 122

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

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

GCD(2, 122) = 244 / 122

GCD(2, 122) = 2

GCD of 568, 196, 402, 122 is 2

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1. What is the GCD of 568, 196, 402, 122?

GCD of 568, 196, 402, 122 is 2

2. Where do I get the detailed procedure to find GCD of 568, 196, 402, 122?

You can find a detailed procedure to find GCD of 568, 196, 402, 122 on our page.

3. How to find GCD of 568, 196, 402, 122 on a calculator?

You can find the GCD of 568, 196, 402, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.