GCD of 252, 109, 50, 101 Calculator

Given Input numbers are 252, 109, 50, 101

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 252, 109, 50, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 109, 50, 101 is 1.

Therefore, GCD of numbers 252, 109, 50, 101 is 1

Given Input Data is 252, 109, 50, 101

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 109 is 109

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 101 is 101

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(252, 109) = 27468

GCD(252, 109) = ( 252 x 109 ) / 27468

GCD(252, 109) = 27468 / 27468

GCD(252, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 252, 109, 50, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 585, 71, 114
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1. What is the GCD of 252, 109, 50, 101?

GCD of 252, 109, 50, 101 is 1

2. Where do I get the detailed procedure to find GCD of 252, 109, 50, 101?

You can find a detailed procedure to find GCD of 252, 109, 50, 101 on our page.

3. How to find GCD of 252, 109, 50, 101 on a calculator?

You can find the GCD of 252, 109, 50, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.