GCD of 966, 746, 61, 697 Calculator

Given Input numbers are 966, 746, 61, 697

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 746

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

1, 2, 373, 746

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 966, 746, 61, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 746, 61, 697 is 1.

Therefore, GCD of numbers 966, 746, 61, 697 is 1

Given Input Data is 966, 746, 61, 697

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 746 is 2 x 373

Prime Factorization of 61 is 61

Prime Factorization of 697 is 17 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(966, 746) = 360318

GCD(966, 746) = ( 966 x 746 ) / 360318

GCD(966, 746) = 720636 / 360318

GCD(966, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 966, 746, 61, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 276, 38, 749
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• GCD of 730, 961, 44, 659

1. What is the GCD of 966, 746, 61, 697?

GCD of 966, 746, 61, 697 is 1

2. Where do I get the detailed procedure to find GCD of 966, 746, 61, 697?

You can find a detailed procedure to find GCD of 966, 746, 61, 697 on our page.

3. How to find GCD of 966, 746, 61, 697 on a calculator?

You can find the GCD of 966, 746, 61, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.