GCD of 966, 510, 384, 153 Calculator

Given Input numbers are 966, 510, 384, 153

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 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (966, 510, 384, 153) = 3.

Given numbers are 966, 510, 384, 153

The list of prime factors of all numbers are

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

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 966, 510, 384, 153 is 3.

Given numbers are 966, 510, 384, 153

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

Apply this formula for all numbers.

Step1:

LCM(966, 510) = 82110

GCD(966, 510) = ( 966 x 510 ) / 82110

= 966 / 510

= 966

Step2:

LCM(6, 384) = 384

GCD(6, 384) = ( 6 x 384 ) / 384

= 6 / 384

= 6

Step3:

LCM(6, 153) = 306

GCD(6, 153) = ( 6 x 153 ) / 306

= 6 / 153

= 6

So, Greatest Common Divisor of 966, 510, 384, 153 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 400, 358, 368
• GCD of 596, 389, 587, 262
• GCD of 778, 945, 472, 188
• GCD of 220, 939, 100, 515
• GCD of 812, 954, 128, 734

Given numbers are 966, 510, 384, 153
The greatest common divisor of numbers 966, 510, 384, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 510, 384, 153 is 3.

1. What is the GCD of 966, 510, 384, 153?

GCD of given numbers 966, 510, 384, 153 is 3

2. How to calculate the greatest common divisor of 966, 510, 384, 153?

We can find the highest common divisor of 966, 510, 384, 153 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, 510, 384, 153 i.e 3.

3. How can I use the GCD of 966, 510, 384, 153Calculator?

Out the numbers 966, 510, 384, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.