GCD of 319, 821, 69, 125 Calculator

Given Input numbers are 319, 821, 69, 125

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 319, 821, 69, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 821, 69, 125 is 1.

Therefore, GCD of numbers 319, 821, 69, 125 is 1

Given Input Data is 319, 821, 69, 125

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 821 is 821

Prime Factorization of 69 is 3 x 23

Prime Factorization of 125 is 5 x 5 x 5

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(319, 821) = 261899

GCD(319, 821) = ( 319 x 821 ) / 261899

GCD(319, 821) = 261899 / 261899

GCD(319, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 319, 821, 69, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 187, 47, 452
• GCD of 512, 126, 28, 486
• GCD of 319, 252, 75, 738
• GCD of 962, 967, 77, 263
• GCD of 460, 957, 85, 593

1. What is the GCD of 319, 821, 69, 125?

GCD of 319, 821, 69, 125 is 1

2. Where do I get the detailed procedure to find GCD of 319, 821, 69, 125?

You can find a detailed procedure to find GCD of 319, 821, 69, 125 on our page.

3. How to find GCD of 319, 821, 69, 125 on a calculator?

You can find the GCD of 319, 821, 69, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.