GCD of 746, 659, 730, 434 Calculator

Given Input numbers are 746, 659, 730, 434

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 434

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

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

Greatest Common Divisior

We found the divisors of 746, 659, 730, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 659, 730, 434 is 1.

Therefore, GCD of numbers 746, 659, 730, 434 is 1

Given Input Data is 746, 659, 730, 434

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 659 is 659

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 434 is 2 x 7 x 31

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(746, 659) = 491614

GCD(746, 659) = ( 746 x 659 ) / 491614

GCD(746, 659) = 491614 / 491614

GCD(746, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 746, 659, 730, 434 is 1

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1. What is the GCD of 746, 659, 730, 434?

GCD of 746, 659, 730, 434 is 1

2. Where do I get the detailed procedure to find GCD of 746, 659, 730, 434?

You can find a detailed procedure to find GCD of 746, 659, 730, 434 on our page.

3. How to find GCD of 746, 659, 730, 434 on a calculator?

You can find the GCD of 746, 659, 730, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.