GCD of 31, 225, 932, 750 Calculator

Given Input numbers are 31, 225, 932, 750

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

Divisors of 31

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

1, 31

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 31, 225, 932, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 225, 932, 750 is 1.

Therefore, GCD of numbers 31, 225, 932, 750 is 1

Given Input Data is 31, 225, 932, 750

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

Prime Factorization of 31 is 31

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 750 is 2 x 3 x 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(31, 225) = 6975

GCD(31, 225) = ( 31 x 225 ) / 6975

GCD(31, 225) = 6975 / 6975

GCD(31, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 932

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

LCM(1, 932) = 932

GCD(1, 932) = ( 1 x 932 ) / 932

GCD(1, 932) = 932 / 932

GCD(1, 932) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 31, 225, 932, 750 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 988, 986, 554
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• GCD of 77, 934, 650, 786
• GCD of 77, 815, 743, 616
• GCD of 39, 527, 970, 319

1. What is the GCD of 31, 225, 932, 750?

GCD of 31, 225, 932, 750 is 1

2. Where do I get the detailed procedure to find GCD of 31, 225, 932, 750?

You can find a detailed procedure to find GCD of 31, 225, 932, 750 on our page.

3. How to find GCD of 31, 225, 932, 750 on a calculator?

You can find the GCD of 31, 225, 932, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.