GCD of 40, 786, 665, 674 Calculator

Given Input numbers are 40, 786, 665, 674

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

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 40, 786, 665, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 786, 665, 674 is 1.

Therefore, GCD of numbers 40, 786, 665, 674 is 1

Given Input Data is 40, 786, 665, 674

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

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 674 is 2 x 337

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(40, 786) = 15720

GCD(40, 786) = ( 40 x 786 ) / 15720

GCD(40, 786) = 31440 / 15720

GCD(40, 786) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 665

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

LCM(2, 665) = 1330

GCD(2, 665) = ( 2 x 665 ) / 1330

GCD(2, 665) = 1330 / 1330

GCD(2, 665) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 40, 786, 665, 674 is 1

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1. What is the GCD of 40, 786, 665, 674?

GCD of 40, 786, 665, 674 is 1

2. Where do I get the detailed procedure to find GCD of 40, 786, 665, 674?

You can find a detailed procedure to find GCD of 40, 786, 665, 674 on our page.

3. How to find GCD of 40, 786, 665, 674 on a calculator?

You can find the GCD of 40, 786, 665, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.