GCD of 962, 741, 714, 225 Calculator

Given Input numbers are 962, 741, 714, 225

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

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

Greatest Common Divisior

We found the divisors of 962, 741, 714, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 741, 714, 225 is 1.

Therefore, GCD of numbers 962, 741, 714, 225 is 1

Given Input Data is 962, 741, 714, 225

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

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 225 is 3 x 3 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(962, 741) = 54834

GCD(962, 741) = ( 962 x 741 ) / 54834

GCD(962, 741) = 712842 / 54834

GCD(962, 741) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 714

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

LCM(13, 714) = 9282

GCD(13, 714) = ( 13 x 714 ) / 9282

GCD(13, 714) = 9282 / 9282

GCD(13, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 962, 741, 714, 225 is 1

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1. What is the GCD of 962, 741, 714, 225?

GCD of 962, 741, 714, 225 is 1

2. Where do I get the detailed procedure to find GCD of 962, 741, 714, 225?

You can find a detailed procedure to find GCD of 962, 741, 714, 225 on our page.

3. How to find GCD of 962, 741, 714, 225 on a calculator?

You can find the GCD of 962, 741, 714, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.