GCD of 905, 152, 61, 100 Calculator

Given Input numbers are 905, 152, 61, 100

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 152

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

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

Divisors of 61

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

1, 61

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 905, 152, 61, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 152, 61, 100 is 1.

Therefore, GCD of numbers 905, 152, 61, 100 is 1

Given Input Data is 905, 152, 61, 100

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

Prime Factorization of 905 is 5 x 181

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

Prime Factorization of 61 is 61

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(905, 152) = 137560

GCD(905, 152) = ( 905 x 152 ) / 137560

GCD(905, 152) = 137560 / 137560

GCD(905, 152) = 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 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 905, 152, 61, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 166, 21, 250
• GCD of 533, 297, 68, 626
• GCD of 366, 945, 89, 738
• GCD of 316, 315, 86, 626
• GCD of 780, 831, 82, 288

1. What is the GCD of 905, 152, 61, 100?

GCD of 905, 152, 61, 100 is 1

2. Where do I get the detailed procedure to find GCD of 905, 152, 61, 100?

You can find a detailed procedure to find GCD of 905, 152, 61, 100 on our page.

3. How to find GCD of 905, 152, 61, 100 on a calculator?

You can find the GCD of 905, 152, 61, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.