GCD of 967, 434, 920, 716 Calculator

Given Input numbers are 967, 434, 920, 716

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

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 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 967, 434, 920, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 434, 920, 716 is 1.

Therefore, GCD of numbers 967, 434, 920, 716 is 1

Given Input Data is 967, 434, 920, 716

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

Prime Factorization of 967 is 967

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 716 is 2 x 2 x 179

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(967, 434) = 419678

GCD(967, 434) = ( 967 x 434 ) / 419678

GCD(967, 434) = 419678 / 419678

GCD(967, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 967, 434, 920, 716 is 1

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1. What is the GCD of 967, 434, 920, 716?

GCD of 967, 434, 920, 716 is 1

2. Where do I get the detailed procedure to find GCD of 967, 434, 920, 716?

You can find a detailed procedure to find GCD of 967, 434, 920, 716 on our page.

3. How to find GCD of 967, 434, 920, 716 on a calculator?

You can find the GCD of 967, 434, 920, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.