GCD of 10, 925, 592, 632 Calculator

Given Input numbers are 10, 925, 592, 632

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 10, 925, 592, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 925, 592, 632 is 1.

Therefore, GCD of numbers 10, 925, 592, 632 is 1

Given Input Data is 10, 925, 592, 632

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(10, 925) = 1850

GCD(10, 925) = ( 10 x 925 ) / 1850

GCD(10, 925) = 9250 / 1850

GCD(10, 925) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 592

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

LCM(5, 592) = 2960

GCD(5, 592) = ( 5 x 592 ) / 2960

GCD(5, 592) = 2960 / 2960

GCD(5, 592) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

GCD of 10, 925, 592, 632 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 35, 387, 566, 372

1. What is the GCD of 10, 925, 592, 632?

GCD of 10, 925, 592, 632 is 1

2. Where do I get the detailed procedure to find GCD of 10, 925, 592, 632?

You can find a detailed procedure to find GCD of 10, 925, 592, 632 on our page.

3. How to find GCD of 10, 925, 592, 632 on a calculator?

You can find the GCD of 10, 925, 592, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.