GCD of 442, 366, 746, 966 Calculator

Given Input numbers are 442, 366, 746, 966

In the factoring method, we have to find the divisors of all numbers

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (442, 366, 746, 966) = 2.

Given numbers are 442, 366, 746, 966

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 366 are 2 x 3 x 61

Prime factors of 746 are 2 x 373

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 442, 366, 746, 966 is 2.

Given numbers are 442, 366, 746, 966

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(442, 366) = 80886

GCD(442, 366) = ( 442 x 366 ) / 80886

= 442 / 366

= 442

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

So, Greatest Common Divisor of 442, 366, 746, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 910, 515, 942
• GCD of 860, 437, 436, 485
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• GCD of 207, 128, 494, 514
• GCD of 542, 833, 737, 124

Given numbers are 442, 366, 746, 966
The greatest common divisor of numbers 442, 366, 746, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 366, 746, 966 is 2.

1. What is the GCD of 442, 366, 746, 966?

GCD of given numbers 442, 366, 746, 966 is 2

2. How to calculate the greatest common divisor of 442, 366, 746, 966?

We can find the highest common divisor of 442, 366, 746, 966 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 442, 366, 746, 966 i.e 2.

3. How can I use the GCD of 442, 366, 746, 966Calculator?

Out the numbers 442, 366, 746, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.