GCD of 414, 897, 920, 624 Calculator

Given Input numbers are 414, 897, 920, 624

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

Greatest Common Divisior

We found the divisors of 414, 897, 920, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 897, 920, 624 is 1.

Therefore, GCD of numbers 414, 897, 920, 624 is 1

Given Input Data is 414, 897, 920, 624

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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

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(414, 897) = 5382

GCD(414, 897) = ( 414 x 897 ) / 5382

GCD(414, 897) = 371358 / 5382

GCD(414, 897) = 69

Step2:

Here we consider the GCD from the above i.e. 69 as first number and the next as 920

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

LCM(69, 920) = 2760

GCD(69, 920) = ( 69 x 920 ) / 2760

GCD(69, 920) = 63480 / 2760

GCD(69, 920) = 23

Step3:

Here we consider the GCD from the above i.e. 23 as first number and the next as 624

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

LCM(23, 624) = 14352

GCD(23, 624) = ( 23 x 624 ) / 14352

GCD(23, 624) = 14352 / 14352

GCD(23, 624) = 1

GCD of 414, 897, 920, 624 is 1

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1. What is the GCD of 414, 897, 920, 624?

GCD of 414, 897, 920, 624 is 1

2. Where do I get the detailed procedure to find GCD of 414, 897, 920, 624?

You can find a detailed procedure to find GCD of 414, 897, 920, 624 on our page.

3. How to find GCD of 414, 897, 920, 624 on a calculator?

You can find the GCD of 414, 897, 920, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.