GCD of 966, 747, 89, 436 Calculator

Given Input numbers are 966, 747, 89, 436

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 966, 747, 89, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 747, 89, 436 is 1.

Therefore, GCD of numbers 966, 747, 89, 436 is 1

Given Input Data is 966, 747, 89, 436

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 89 is 89

Prime Factorization of 436 is 2 x 2 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(966, 747) = 240534

GCD(966, 747) = ( 966 x 747 ) / 240534

GCD(966, 747) = 721602 / 240534

GCD(966, 747) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 89

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

LCM(3, 89) = 267

GCD(3, 89) = ( 3 x 89 ) / 267

GCD(3, 89) = 267 / 267

GCD(3, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

GCD of 966, 747, 89, 436 is 1

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• GCD of 780, 163, 85, 177
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1. What is the GCD of 966, 747, 89, 436?

GCD of 966, 747, 89, 436 is 1

2. Where do I get the detailed procedure to find GCD of 966, 747, 89, 436?

You can find a detailed procedure to find GCD of 966, 747, 89, 436 on our page.

3. How to find GCD of 966, 747, 89, 436 on a calculator?

You can find the GCD of 966, 747, 89, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.