GCD of 624, 914, 606, 907 Calculator

Given Input numbers are 624, 914, 606, 907

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

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Greatest Common Divisior

We found the divisors of 624, 914, 606, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 914, 606, 907 is 1.

Therefore, GCD of numbers 624, 914, 606, 907 is 1

Given Input Data is 624, 914, 606, 907

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

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 907 is 907

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(624, 914) = 285168

GCD(624, 914) = ( 624 x 914 ) / 285168

GCD(624, 914) = 570336 / 285168

GCD(624, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 606

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

LCM(2, 606) = 606

GCD(2, 606) = ( 2 x 606 ) / 606

GCD(2, 606) = 1212 / 606

GCD(2, 606) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 907

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

LCM(2, 907) = 1814

GCD(2, 907) = ( 2 x 907 ) / 1814

GCD(2, 907) = 1814 / 1814

GCD(2, 907) = 1

GCD of 624, 914, 606, 907 is 1

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1. What is the GCD of 624, 914, 606, 907?

GCD of 624, 914, 606, 907 is 1

2. Where do I get the detailed procedure to find GCD of 624, 914, 606, 907?

You can find a detailed procedure to find GCD of 624, 914, 606, 907 on our page.

3. How to find GCD of 624, 914, 606, 907 on a calculator?

You can find the GCD of 624, 914, 606, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.