GCD of 954, 480, 432, 313 Calculator

Given Input numbers are 954, 480, 432, 313

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

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (954, 480, 432, 313) = 1.

Given numbers are 954, 480, 432, 313

The list of prime factors of all numbers are

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

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 313 are 313

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

Given numbers are 954, 480, 432, 313

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

Apply this formula for all numbers.

Step1:

LCM(954, 480) = 76320

GCD(954, 480) = ( 954 x 480 ) / 76320

= 954 / 480

= 954

Step2:

LCM(6, 432) = 432

GCD(6, 432) = ( 6 x 432 ) / 432

= 6 / 432

= 6

Step3:

LCM(6, 313) = 1878

GCD(6, 313) = ( 6 x 313 ) / 1878

= 6 / 313

= 6

So, Greatest Common Divisor of 954, 480, 432, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 748, 227, 952
• GCD of 113, 773, 307, 131
• GCD of 289, 254, 398, 344
• GCD of 450, 344, 589, 686
• GCD of 283, 799, 857, 304

Given numbers are 954, 480, 432, 313
The greatest common divisor of numbers 954, 480, 432, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 480, 432, 313 is 1.

1. What is the GCD of 954, 480, 432, 313?

GCD of given numbers 954, 480, 432, 313 is 1

2. How to calculate the greatest common divisor of 954, 480, 432, 313?

We can find the highest common divisor of 954, 480, 432, 313 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 954, 480, 432, 313 i.e 1.

3. How can I use the GCD of 954, 480, 432, 313Calculator?

Out the numbers 954, 480, 432, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.