GCD of 459, 120, 375, 968 Calculator

Given Input numbers are 459, 120, 375, 968

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

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

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

GCD of numbers is the greatest common divisor

So, the GCD (459, 120, 375, 968) = 1.

Given numbers are 459, 120, 375, 968

The list of prime factors of all numbers are

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 375 are 3 x 5 x 5 x 5

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

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

Given numbers are 459, 120, 375, 968

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

Apply this formula for all numbers.

Step1:

LCM(459, 120) = 18360

GCD(459, 120) = ( 459 x 120 ) / 18360

= 459 / 120

= 459

Step2:

LCM(3, 375) = 375

GCD(3, 375) = ( 3 x 375 ) / 375

= 3 / 375

= 3

Step3:

LCM(3, 968) = 2904

GCD(3, 968) = ( 3 x 968 ) / 2904

= 3 / 968

= 3

So, Greatest Common Divisor of 459, 120, 375, 968 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 367, 399, 850
• GCD of 968, 937, 921, 832
• GCD of 825, 985, 146, 795
• GCD of 615, 824, 697, 526
• GCD of 202, 271, 333, 450

Given numbers are 459, 120, 375, 968
The greatest common divisor of numbers 459, 120, 375, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 120, 375, 968 is 1.

1. What is the GCD of 459, 120, 375, 968?

GCD of given numbers 459, 120, 375, 968 is 1

2. How to calculate the greatest common divisor of 459, 120, 375, 968?

We can find the highest common divisor of 459, 120, 375, 968 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 459, 120, 375, 968 i.e 1.

3. How can I use the GCD of 459, 120, 375, 968Calculator?

Out the numbers 459, 120, 375, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.