GCD of 966, 339, 354, 465 Calculator

Given Input numbers are 966, 339, 354, 465

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

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

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

GCD of numbers is the greatest common divisor

So, the GCD (966, 339, 354, 465) = 3.

Given numbers are 966, 339, 354, 465

The list of prime factors of all numbers are

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

Prime factors of 339 are 3 x 113

Prime factors of 354 are 2 x 3 x 59

Prime factors of 465 are 3 x 5 x 31

The highest common occurrence is 3¹

Therefore, GCD of 966, 339, 354, 465 is 3.

Given numbers are 966, 339, 354, 465

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

Apply this formula for all numbers.

Step1:

LCM(966, 339) = 109158

GCD(966, 339) = ( 966 x 339 ) / 109158

= 966 / 339

= 966

Step2:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

Step3:

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

= 3 / 465

= 3

So, Greatest Common Divisor of 966, 339, 354, 465 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 620, 195, 653
• GCD of 257, 765, 860, 301
• GCD of 258, 945, 724, 267
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• GCD of 285, 170, 675, 924

Given numbers are 966, 339, 354, 465
The greatest common divisor of numbers 966, 339, 354, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 339, 354, 465 is 3.

1. What is the GCD of 966, 339, 354, 465?

GCD of given numbers 966, 339, 354, 465 is 3

2. How to calculate the greatest common divisor of 966, 339, 354, 465?

We can find the highest common divisor of 966, 339, 354, 465 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 966, 339, 354, 465 i.e 3.

3. How can I use the GCD of 966, 339, 354, 465Calculator?

Out the numbers 966, 339, 354, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.