GCD of 456, 624, 870, 925 Calculator

Given Input numbers are 456, 624, 870, 925

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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 925

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

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 456, 624, 870, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 624, 870, 925 is 1.

Therefore, GCD of numbers 456, 624, 870, 925 is 1

Given Input Data is 456, 624, 870, 925

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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

Prime Factorization of 925 is 5 x 5 x 37

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(456, 624) = 11856

GCD(456, 624) = ( 456 x 624 ) / 11856

GCD(456, 624) = 284544 / 11856

GCD(456, 624) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 870

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

LCM(24, 870) = 3480

GCD(24, 870) = ( 24 x 870 ) / 3480

GCD(24, 870) = 20880 / 3480

GCD(24, 870) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 925

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

LCM(6, 925) = 5550

GCD(6, 925) = ( 6 x 925 ) / 5550

GCD(6, 925) = 5550 / 5550

GCD(6, 925) = 1

GCD of 456, 624, 870, 925 is 1

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1. What is the GCD of 456, 624, 870, 925?

GCD of 456, 624, 870, 925 is 1

2. Where do I get the detailed procedure to find GCD of 456, 624, 870, 925?

You can find a detailed procedure to find GCD of 456, 624, 870, 925 on our page.

3. How to find GCD of 456, 624, 870, 925 on a calculator?

You can find the GCD of 456, 624, 870, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.