GCD of 202, 410, 61, 141 Calculator

Given Input numbers are 202, 410, 61, 141

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 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 202, 410, 61, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 410, 61, 141 is 1.

Therefore, GCD of numbers 202, 410, 61, 141 is 1

Given Input Data is 202, 410, 61, 141

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 61 is 61

Prime Factorization of 141 is 3 x 47

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(202, 410) = 41410

GCD(202, 410) = ( 202 x 410 ) / 41410

GCD(202, 410) = 82820 / 41410

GCD(202, 410) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 202, 410, 61, 141 is 1

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1. What is the GCD of 202, 410, 61, 141?

GCD of 202, 410, 61, 141 is 1

2. Where do I get the detailed procedure to find GCD of 202, 410, 61, 141?

You can find a detailed procedure to find GCD of 202, 410, 61, 141 on our page.

3. How to find GCD of 202, 410, 61, 141 on a calculator?

You can find the GCD of 202, 410, 61, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.