GCD of 643, 760, 40, 654 Calculator

Given Input numbers are 643, 760, 40, 654

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 643, 760, 40, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 760, 40, 654 is 1.

Therefore, GCD of numbers 643, 760, 40, 654 is 1

Given Input Data is 643, 760, 40, 654

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

Prime Factorization of 643 is 643

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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

Prime Factorization of 654 is 2 x 3 x 109

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(643, 760) = 488680

GCD(643, 760) = ( 643 x 760 ) / 488680

GCD(643, 760) = 488680 / 488680

GCD(643, 760) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 643, 760, 40, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 344, 32, 538
• GCD of 287, 363, 69, 131
• GCD of 464, 779, 75, 729
• GCD of 943, 877, 26, 597
• GCD of 583, 491, 76, 880

1. What is the GCD of 643, 760, 40, 654?

GCD of 643, 760, 40, 654 is 1

2. Where do I get the detailed procedure to find GCD of 643, 760, 40, 654?

You can find a detailed procedure to find GCD of 643, 760, 40, 654 on our page.

3. How to find GCD of 643, 760, 40, 654 on a calculator?

You can find the GCD of 643, 760, 40, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.