GCD of 870, 207, 744, 101 Calculator

Given Input numbers are 870, 207, 744, 101

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 870, 207, 744, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 207, 744, 101 is 1.

Therefore, GCD of numbers 870, 207, 744, 101 is 1

Given Input Data is 870, 207, 744, 101

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(870, 207) = 60030

GCD(870, 207) = ( 870 x 207 ) / 60030

GCD(870, 207) = 180090 / 60030

GCD(870, 207) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 744

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

LCM(3, 744) = 744

GCD(3, 744) = ( 3 x 744 ) / 744

GCD(3, 744) = 2232 / 744

GCD(3, 744) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 101

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

LCM(3, 101) = 303

GCD(3, 101) = ( 3 x 101 ) / 303

GCD(3, 101) = 303 / 303

GCD(3, 101) = 1

GCD of 870, 207, 744, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 171, 206, 499
• GCD of 406, 716, 546, 480
• GCD of 434, 602, 347, 377
• GCD of 162, 750, 483, 879
• GCD of 132, 611, 557, 719

1. What is the GCD of 870, 207, 744, 101?

GCD of 870, 207, 744, 101 is 1

2. Where do I get the detailed procedure to find GCD of 870, 207, 744, 101?

You can find a detailed procedure to find GCD of 870, 207, 744, 101 on our page.

3. How to find GCD of 870, 207, 744, 101 on a calculator?

You can find the GCD of 870, 207, 744, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.