GCD of 434, 759, 654, 656 Calculator

Given Input numbers are 434, 759, 654, 656

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 654

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

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 434, 759, 654, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 759, 654, 656 is 1.

Therefore, GCD of numbers 434, 759, 654, 656 is 1

Given Input Data is 434, 759, 654, 656

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(434, 759) = 329406

GCD(434, 759) = ( 434 x 759 ) / 329406

GCD(434, 759) = 329406 / 329406

GCD(434, 759) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 434, 759, 654, 656 is 1

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1. What is the GCD of 434, 759, 654, 656?

GCD of 434, 759, 654, 656 is 1

2. Where do I get the detailed procedure to find GCD of 434, 759, 654, 656?

You can find a detailed procedure to find GCD of 434, 759, 654, 656 on our page.

3. How to find GCD of 434, 759, 654, 656 on a calculator?

You can find the GCD of 434, 759, 654, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.