GCD of 364, 949, 16, 525 Calculator

Given Input numbers are 364, 949, 16, 525

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 364, 949, 16, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 949, 16, 525 is 1.

Therefore, GCD of numbers 364, 949, 16, 525 is 1

Given Input Data is 364, 949, 16, 525

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 949 is 13 x 73

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(364, 949) = 26572

GCD(364, 949) = ( 364 x 949 ) / 26572

GCD(364, 949) = 345436 / 26572

GCD(364, 949) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 16

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

LCM(13, 16) = 208

GCD(13, 16) = ( 13 x 16 ) / 208

GCD(13, 16) = 208 / 208

GCD(13, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 364, 949, 16, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 584, 91, 718
• GCD of 837, 633, 10, 846
• GCD of 189, 386, 95, 962
• GCD of 290, 128, 49, 783
• GCD of 300, 212, 56, 792

1. What is the GCD of 364, 949, 16, 525?

GCD of 364, 949, 16, 525 is 1

2. Where do I get the detailed procedure to find GCD of 364, 949, 16, 525?

You can find a detailed procedure to find GCD of 364, 949, 16, 525 on our page.

3. How to find GCD of 364, 949, 16, 525 on a calculator?

You can find the GCD of 364, 949, 16, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.