GCD of 234, 612, 968, 960 Calculator

Given Input numbers are 234, 612, 968, 960

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (234, 612, 968, 960) = 2.

Given numbers are 234, 612, 968, 960

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 234, 612, 968, 960 is 2.

Given numbers are 234, 612, 968, 960

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

Apply this formula for all numbers.

Step1:

LCM(234, 612) = 7956

GCD(234, 612) = ( 234 x 612 ) / 7956

= 234 / 612

= 234

Step2:

LCM(18, 968) = 8712

GCD(18, 968) = ( 18 x 968 ) / 8712

= 18 / 968

= 18

Step3:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

So, Greatest Common Divisor of 234, 612, 968, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 791, 457, 776
• GCD of 523, 912, 807, 861
• GCD of 274, 227, 725, 562
• GCD of 655, 800, 637, 128
• GCD of 553, 954, 692, 656

Given numbers are 234, 612, 968, 960
The greatest common divisor of numbers 234, 612, 968, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 612, 968, 960 is 2.

1. What is the GCD of 234, 612, 968, 960?

GCD of given numbers 234, 612, 968, 960 is 2

2. How to calculate the greatest common divisor of 234, 612, 968, 960?

We can find the highest common divisor of 234, 612, 968, 960 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 234, 612, 968, 960 i.e 2.

3. How can I use the GCD of 234, 612, 968, 960Calculator?

Out the numbers 234, 612, 968, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.