GCD of 87, 660, 389, 101 Calculator

Given Input numbers are 87, 660, 389, 101

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

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 87, 660, 389, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 660, 389, 101 is 1.

Therefore, GCD of numbers 87, 660, 389, 101 is 1

Given Input Data is 87, 660, 389, 101

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 389 is 389

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(87, 660) = 19140

GCD(87, 660) = ( 87 x 660 ) / 19140

GCD(87, 660) = 57420 / 19140

GCD(87, 660) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 389

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

LCM(3, 389) = 1167

GCD(3, 389) = ( 3 x 389 ) / 1167

GCD(3, 389) = 1167 / 1167

GCD(3, 389) = 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 87, 660, 389, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 661, 826, 828
• GCD of 56, 739, 654, 723
• GCD of 99, 121, 563, 296
• GCD of 41, 465, 432, 836
• GCD of 82, 756, 456, 365

1. What is the GCD of 87, 660, 389, 101?

GCD of 87, 660, 389, 101 is 1

2. Where do I get the detailed procedure to find GCD of 87, 660, 389, 101?

You can find a detailed procedure to find GCD of 87, 660, 389, 101 on our page.

3. How to find GCD of 87, 660, 389, 101 on a calculator?

You can find the GCD of 87, 660, 389, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.