GCD of 31, 861, 505, 752 Calculator

Given Input numbers are 31, 861, 505, 752

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 31, 861, 505, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 861, 505, 752 is 1.

Therefore, GCD of numbers 31, 861, 505, 752 is 1

Given Input Data is 31, 861, 505, 752

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

Prime Factorization of 31 is 31

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 505 is 5 x 101

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(31, 861) = 26691

GCD(31, 861) = ( 31 x 861 ) / 26691

GCD(31, 861) = 26691 / 26691

GCD(31, 861) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 31, 861, 505, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 359, 502, 696
• GCD of 80, 326, 838, 652
• GCD of 31, 730, 319, 981
• GCD of 43, 411, 617, 428
• GCD of 65, 150, 745, 650

1. What is the GCD of 31, 861, 505, 752?

GCD of 31, 861, 505, 752 is 1

2. Where do I get the detailed procedure to find GCD of 31, 861, 505, 752?

You can find a detailed procedure to find GCD of 31, 861, 505, 752 on our page.

3. How to find GCD of 31, 861, 505, 752 on a calculator?

You can find the GCD of 31, 861, 505, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.