GCD of 225, 870, 976, 146 Calculator

Given Input numbers are 225, 870, 976, 146

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

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 225, 870, 976, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 870, 976, 146 is 1.

Therefore, GCD of numbers 225, 870, 976, 146 is 1

Given Input Data is 225, 870, 976, 146

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

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 146 is 2 x 73

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(225, 870) = 13050

GCD(225, 870) = ( 225 x 870 ) / 13050

GCD(225, 870) = 195750 / 13050

GCD(225, 870) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 976

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

LCM(15, 976) = 14640

GCD(15, 976) = ( 15 x 976 ) / 14640

GCD(15, 976) = 14640 / 14640

GCD(15, 976) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 225, 870, 976, 146 is 1

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1. What is the GCD of 225, 870, 976, 146?

GCD of 225, 870, 976, 146 is 1

2. Where do I get the detailed procedure to find GCD of 225, 870, 976, 146?

You can find a detailed procedure to find GCD of 225, 870, 976, 146 on our page.

3. How to find GCD of 225, 870, 976, 146 on a calculator?

You can find the GCD of 225, 870, 976, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.