GCD of 624, 114, 532, 966 Calculator

Given Input numbers are 624, 114, 532, 966

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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 (624, 114, 532, 966) = 2.

Given numbers are 624, 114, 532, 966

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 114 are 2 x 3 x 19

Prime factors of 532 are 2 x 2 x 7 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 624, 114, 532, 966 is 2.

Given numbers are 624, 114, 532, 966

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

Apply this formula for all numbers.

Step1:

LCM(624, 114) = 11856

GCD(624, 114) = ( 624 x 114 ) / 11856

= 624 / 114

= 624

Step2:

LCM(6, 532) = 1596

GCD(6, 532) = ( 6 x 532 ) / 1596

= 6 / 532

= 6

Step3:

LCM(2, 966) = 966

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

= 2 / 966

= 2

So, Greatest Common Divisor of 624, 114, 532, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 875, 286, 183
• GCD of 214, 989, 275, 248
• GCD of 435, 328, 555, 756
• GCD of 802, 800, 631, 117
• GCD of 370, 805, 966, 711

Given numbers are 624, 114, 532, 966
The greatest common divisor of numbers 624, 114, 532, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 114, 532, 966 is 2.

1. What is the GCD of 624, 114, 532, 966?

GCD of given numbers 624, 114, 532, 966 is 2

2. How to calculate the greatest common divisor of 624, 114, 532, 966?

We can find the highest common divisor of 624, 114, 532, 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 624, 114, 532, 966 i.e 2.

3. How can I use the GCD of 624, 114, 532, 966Calculator?

Out the numbers 624, 114, 532, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.