GCD of 748, 867, 420, 565 Calculator

Given Input numbers are 748, 867, 420, 565

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 748, 867, 420, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 867, 420, 565 is 1.

Therefore, GCD of numbers 748, 867, 420, 565 is 1

Given Input Data is 748, 867, 420, 565

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 565 is 5 x 113

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(748, 867) = 38148

GCD(748, 867) = ( 748 x 867 ) / 38148

GCD(748, 867) = 648516 / 38148

GCD(748, 867) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 420

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

LCM(17, 420) = 7140

GCD(17, 420) = ( 17 x 420 ) / 7140

GCD(17, 420) = 7140 / 7140

GCD(17, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 748, 867, 420, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 157, 101, 923
• GCD of 568, 751, 819, 973
• GCD of 374, 622, 926, 313
• GCD of 180, 654, 632, 152
• GCD of 529, 687, 199, 886

1. What is the GCD of 748, 867, 420, 565?

GCD of 748, 867, 420, 565 is 1

2. Where do I get the detailed procedure to find GCD of 748, 867, 420, 565?

You can find a detailed procedure to find GCD of 748, 867, 420, 565 on our page.

3. How to find GCD of 748, 867, 420, 565 on a calculator?

You can find the GCD of 748, 867, 420, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.