GCD of 53, 492, 200, 106 Calculator

Given Input numbers are 53, 492, 200, 106

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 53, 492, 200, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 492, 200, 106 is 1.

Therefore, GCD of numbers 53, 492, 200, 106 is 1

Given Input Data is 53, 492, 200, 106

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

Prime Factorization of 53 is 53

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 106 is 2 x 53

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(53, 492) = 26076

GCD(53, 492) = ( 53 x 492 ) / 26076

GCD(53, 492) = 26076 / 26076

GCD(53, 492) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 53, 492, 200, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 376, 855, 401
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• GCD of 36, 858, 970, 156
• GCD of 69, 399, 282, 697
• GCD of 91, 424, 666, 420

1. What is the GCD of 53, 492, 200, 106?

GCD of 53, 492, 200, 106 is 1

2. Where do I get the detailed procedure to find GCD of 53, 492, 200, 106?

You can find a detailed procedure to find GCD of 53, 492, 200, 106 on our page.

3. How to find GCD of 53, 492, 200, 106 on a calculator?

You can find the GCD of 53, 492, 200, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.