GCD of 202, 552, 502, 152 Calculator

Given Input numbers are 202, 552, 502, 152

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 202, 552, 502, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 552, 502, 152 is 2.

Therefore, GCD of numbers 202, 552, 502, 152 is 2

Given Input Data is 202, 552, 502, 152

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 502 is 2 x 251

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(202, 552) = 55752

GCD(202, 552) = ( 202 x 552 ) / 55752

GCD(202, 552) = 111504 / 55752

GCD(202, 552) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 152

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

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

GCD(2, 152) = 304 / 152

GCD(2, 152) = 2

GCD of 202, 552, 502, 152 is 2

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1. What is the GCD of 202, 552, 502, 152?

GCD of 202, 552, 502, 152 is 2

2. Where do I get the detailed procedure to find GCD of 202, 552, 502, 152?

You can find a detailed procedure to find GCD of 202, 552, 502, 152 on our page.

3. How to find GCD of 202, 552, 502, 152 on a calculator?

You can find the GCD of 202, 552, 502, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.