GCD of 625, 167, 416, 828 Calculator

Given Input numbers are 625, 167, 416, 828

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 625, 167, 416, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 167, 416, 828 is 1.

Therefore, GCD of numbers 625, 167, 416, 828 is 1

Given Input Data is 625, 167, 416, 828

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 167 is 167

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(625, 167) = 104375

GCD(625, 167) = ( 625 x 167 ) / 104375

GCD(625, 167) = 104375 / 104375

GCD(625, 167) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 625, 167, 416, 828 is 1

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1. What is the GCD of 625, 167, 416, 828?

GCD of 625, 167, 416, 828 is 1

2. Where do I get the detailed procedure to find GCD of 625, 167, 416, 828?

You can find a detailed procedure to find GCD of 625, 167, 416, 828 on our page.

3. How to find GCD of 625, 167, 416, 828 on a calculator?

You can find the GCD of 625, 167, 416, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.