GCD of 961, 749, 434 Calculator

Given Input numbers are 961, 749, 434

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

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 961, 749, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 749, 434 is 1.

Therefore, GCD of numbers 961, 749, 434 is 1

Given Input Data is 961, 749, 434

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 749 is 7 x 107

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(961, 749) = 719789

GCD(961, 749) = ( 961 x 749 ) / 719789

GCD(961, 749) = 719789 / 719789

GCD(961, 749) = 1

Step2:

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 961, 749, 434 is 1

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1. What is the GCD of 961, 749, 434?

GCD of 961, 749, 434 is 1

2. Where do I get the detailed procedure to find GCD of 961, 749, 434?

You can find a detailed procedure to find GCD of 961, 749, 434 on our page.

3. How to find GCD of 961, 749, 434 on a calculator?

You can find the GCD of 961, 749, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.