GCD of 480, 945, 585, 476 Calculator

Given Input numbers are 480, 945, 585, 476

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

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (480, 945, 585, 476) = 1.

Given numbers are 480, 945, 585, 476

The list of prime factors of all numbers are

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

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 476 are 2 x 2 x 7 x 17

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

Given numbers are 480, 945, 585, 476

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

Apply this formula for all numbers.

Step1:

LCM(480, 945) = 30240

GCD(480, 945) = ( 480 x 945 ) / 30240

= 480 / 945

= 480

Step2:

LCM(15, 585) = 585

GCD(15, 585) = ( 15 x 585 ) / 585

= 15 / 585

= 15

Step3:

LCM(15, 476) = 7140

GCD(15, 476) = ( 15 x 476 ) / 7140

= 15 / 476

= 15

So, Greatest Common Divisor of 480, 945, 585, 476 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 996, 822, 689
• GCD of 273, 172, 825, 470
• GCD of 263, 289, 955, 825
• GCD of 532, 849, 327, 908
• GCD of 875, 137, 984, 972

Given numbers are 480, 945, 585, 476
The greatest common divisor of numbers 480, 945, 585, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 945, 585, 476 is 1.

1. What is the GCD of 480, 945, 585, 476?

GCD of given numbers 480, 945, 585, 476 is 1

2. How to calculate the greatest common divisor of 480, 945, 585, 476?

We can find the highest common divisor of 480, 945, 585, 476 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 480, 945, 585, 476 i.e 1.

3. How can I use the GCD of 480, 945, 585, 476Calculator?

Out the numbers 480, 945, 585, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.