GCD of 189, 533, 968, 312 Calculator

Given Input numbers are 189, 533, 968, 312

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (189, 533, 968, 312) = 1.

Given numbers are 189, 533, 968, 312

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 533 are 13 x 41

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 189, 533, 968, 312

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

Apply this formula for all numbers.

Step1:

LCM(189, 533) = 100737

GCD(189, 533) = ( 189 x 533 ) / 100737

= 189 / 533

= 189

Step2:

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

= 1 / 968

= 1

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 189, 533, 968, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 354, 624, 406
• GCD of 761, 463, 477, 425
• GCD of 676, 106, 507, 719
• GCD of 306, 363, 560, 124
• GCD of 598, 182, 884, 787

Given numbers are 189, 533, 968, 312
The greatest common divisor of numbers 189, 533, 968, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 533, 968, 312 is 1.

1. What is the GCD of 189, 533, 968, 312?

GCD of given numbers 189, 533, 968, 312 is 1

2. How to calculate the greatest common divisor of 189, 533, 968, 312?

We can find the highest common divisor of 189, 533, 968, 312 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 189, 533, 968, 312 i.e 1.

3. How can I use the GCD of 189, 533, 968, 312Calculator?

Out the numbers 189, 533, 968, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.