GCD of 305, 171, 61, 202 Calculator

Given Input numbers are 305, 171, 61, 202

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 61

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

1, 61

Divisors of 202

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

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 305, 171, 61, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 171, 61, 202 is 1.

Therefore, GCD of numbers 305, 171, 61, 202 is 1

Given Input Data is 305, 171, 61, 202

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 61 is 61

Prime Factorization of 202 is 2 x 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(305, 171) = 52155

GCD(305, 171) = ( 305 x 171 ) / 52155

GCD(305, 171) = 52155 / 52155

GCD(305, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 305, 171, 61, 202 is 1

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• GCD of 739, 766, 37, 527
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1. What is the GCD of 305, 171, 61, 202?

GCD of 305, 171, 61, 202 is 1

2. Where do I get the detailed procedure to find GCD of 305, 171, 61, 202?

You can find a detailed procedure to find GCD of 305, 171, 61, 202 on our page.

3. How to find GCD of 305, 171, 61, 202 on a calculator?

You can find the GCD of 305, 171, 61, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.