GCD of 690, 747, 40, 748 Calculator

Given Input numbers are 690, 747, 40, 748

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 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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

Greatest Common Divisior

We found the divisors of 690, 747, 40, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 747, 40, 748 is 1.

Therefore, GCD of numbers 690, 747, 40, 748 is 1

Given Input Data is 690, 747, 40, 748

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 747 is 3 x 3 x 83

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

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, 747) = 171810

GCD(690, 747) = ( 690 x 747 ) / 171810

GCD(690, 747) = 515430 / 171810

GCD(690, 747) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 690, 747, 40, 748 is 1

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1. What is the GCD of 690, 747, 40, 748?

GCD of 690, 747, 40, 748 is 1

2. Where do I get the detailed procedure to find GCD of 690, 747, 40, 748?

You can find a detailed procedure to find GCD of 690, 747, 40, 748 on our page.

3. How to find GCD of 690, 747, 40, 748 on a calculator?

You can find the GCD of 690, 747, 40, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.