GCD of 966, 408, 147, 414 Calculator

Given Input numbers are 966, 408, 147, 414

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 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (966, 408, 147, 414) = 3.

Given numbers are 966, 408, 147, 414

The list of prime factors of all numbers are

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

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 147 are 3 x 7 x 7

Prime factors of 414 are 2 x 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 966, 408, 147, 414 is 3.

Given numbers are 966, 408, 147, 414

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

Apply this formula for all numbers.

Step1:

LCM(966, 408) = 65688

GCD(966, 408) = ( 966 x 408 ) / 65688

= 966 / 408

= 966

Step2:

LCM(6, 147) = 294

GCD(6, 147) = ( 6 x 147 ) / 294

= 6 / 147

= 6

Step3:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

So, Greatest Common Divisor of 966, 408, 147, 414 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 117, 233, 267
• GCD of 158, 836, 452, 381
• GCD of 585, 100, 433, 452
• GCD of 995, 424, 166, 332
• GCD of 646, 664, 883, 103

Given numbers are 966, 408, 147, 414
The greatest common divisor of numbers 966, 408, 147, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 408, 147, 414 is 3.

1. What is the GCD of 966, 408, 147, 414?

GCD of given numbers 966, 408, 147, 414 is 3

2. How to calculate the greatest common divisor of 966, 408, 147, 414?

We can find the highest common divisor of 966, 408, 147, 414 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, 408, 147, 414 i.e 3.

3. How can I use the GCD of 966, 408, 147, 414Calculator?

Out the numbers 966, 408, 147, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.