GCD of 120, 459, 954, 478 Calculator

Given Input numbers are 120, 459, 954, 478

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

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 459 :

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

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

GCD of numbers is the greatest common divisor

So, the GCD (120, 459, 954, 478) = 1.

Given numbers are 120, 459, 954, 478

The list of prime factors of all numbers are

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

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

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 478 are 2 x 239

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

Given numbers are 120, 459, 954, 478

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

Apply this formula for all numbers.

Step1:

LCM(120, 459) = 18360

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

= 120 / 459

= 120

Step2:

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

= 3 / 954

= 3

Step3:

LCM(3, 478) = 1434

GCD(3, 478) = ( 3 x 478 ) / 1434

= 3 / 478

= 3

So, Greatest Common Divisor of 120, 459, 954, 478 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 642, 324, 434
• GCD of 935, 498, 909, 135
• GCD of 289, 159, 780, 845
• GCD of 908, 188, 319, 347
• GCD of 742, 382, 519, 343

Given numbers are 120, 459, 954, 478
The greatest common divisor of numbers 120, 459, 954, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 459, 954, 478 is 1.

1. What is the GCD of 120, 459, 954, 478?

GCD of given numbers 120, 459, 954, 478 is 1

2. How to calculate the greatest common divisor of 120, 459, 954, 478?

We can find the highest common divisor of 120, 459, 954, 478 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 120, 459, 954, 478 i.e 1.

3. How can I use the GCD of 120, 459, 954, 478Calculator?

Out the numbers 120, 459, 954, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.