GCD of 690, 748, 477, 624 Calculator

Given Input numbers are 690, 748, 477, 624

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

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 690, 748, 477, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 748, 477, 624 is 1.

Therefore, GCD of numbers 690, 748, 477, 624 is 1

Given Input Data is 690, 748, 477, 624

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 477 is 3 x 3 x 53

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(690, 748) = 258060

GCD(690, 748) = ( 690 x 748 ) / 258060

GCD(690, 748) = 516120 / 258060

GCD(690, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 477

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

LCM(2, 477) = 954

GCD(2, 477) = ( 2 x 477 ) / 954

GCD(2, 477) = 954 / 954

GCD(2, 477) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 690, 748, 477, 624 is 1

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1. What is the GCD of 690, 748, 477, 624?

GCD of 690, 748, 477, 624 is 1

2. Where do I get the detailed procedure to find GCD of 690, 748, 477, 624?

You can find a detailed procedure to find GCD of 690, 748, 477, 624 on our page.

3. How to find GCD of 690, 748, 477, 624 on a calculator?

You can find the GCD of 690, 748, 477, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.