GCD of 966, 546, 46, 739 Calculator

Given Input numbers are 966, 546, 46, 739

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 966, 546, 46, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 546, 46, 739 is 1.

Therefore, GCD of numbers 966, 546, 46, 739 is 1

Given Input Data is 966, 546, 46, 739

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 546 is 2 x 3 x 7 x 13

Prime Factorization of 46 is 2 x 23

Prime Factorization of 739 is 739

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, 546) = 12558

GCD(966, 546) = ( 966 x 546 ) / 12558

GCD(966, 546) = 527436 / 12558

GCD(966, 546) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 46

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

LCM(42, 46) = 966

GCD(42, 46) = ( 42 x 46 ) / 966

GCD(42, 46) = 1932 / 966

GCD(42, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

GCD of 966, 546, 46, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 641, 84, 178
• GCD of 187, 334, 30, 758
• GCD of 377, 480, 24, 664
• GCD of 596, 908, 94, 578
• GCD of 898, 961, 55, 596

1. What is the GCD of 966, 546, 46, 739?

GCD of 966, 546, 46, 739 is 1

2. Where do I get the detailed procedure to find GCD of 966, 546, 46, 739?

You can find a detailed procedure to find GCD of 966, 546, 46, 739 on our page.

3. How to find GCD of 966, 546, 46, 739 on a calculator?

You can find the GCD of 966, 546, 46, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.