GCD of 499, 664, 31, 952 Calculator

Given Input numbers are 499, 664, 31, 952

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 31

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

1, 31

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 499, 664, 31, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 664, 31, 952 is 1.

Therefore, GCD of numbers 499, 664, 31, 952 is 1

Given Input Data is 499, 664, 31, 952

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

Prime Factorization of 499 is 499

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 31 is 31

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(499, 664) = 331336

GCD(499, 664) = ( 499 x 664 ) / 331336

GCD(499, 664) = 331336 / 331336

GCD(499, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 499, 664, 31, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 981, 98, 698
• GCD of 665, 770, 69, 889
• GCD of 176, 224, 73, 986
• GCD of 911, 972, 85, 526
• GCD of 377, 700, 24, 495

1. What is the GCD of 499, 664, 31, 952?

GCD of 499, 664, 31, 952 is 1

2. Where do I get the detailed procedure to find GCD of 499, 664, 31, 952?

You can find a detailed procedure to find GCD of 499, 664, 31, 952 on our page.

3. How to find GCD of 499, 664, 31, 952 on a calculator?

You can find the GCD of 499, 664, 31, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.