GCD of 480, 135, 918, 644 Calculator

Given Input numbers are 480, 135, 918, 644

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 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (480, 135, 918, 644) = 1.

Given numbers are 480, 135, 918, 644

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 135 are 3 x 3 x 3 x 5

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 644 are 2 x 2 x 7 x 23

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

Given numbers are 480, 135, 918, 644

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

Apply this formula for all numbers.

Step1:

LCM(480, 135) = 4320

GCD(480, 135) = ( 480 x 135 ) / 4320

= 480 / 135

= 480

Step2:

LCM(15, 918) = 4590

GCD(15, 918) = ( 15 x 918 ) / 4590

= 15 / 918

= 15

Step3:

LCM(3, 644) = 1932

GCD(3, 644) = ( 3 x 644 ) / 1932

= 3 / 644

= 3

So, Greatest Common Divisor of 480, 135, 918, 644 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 521, 696, 226
• GCD of 106, 824, 510, 496
• GCD of 318, 813, 305, 796
• GCD of 753, 409, 527, 792
• GCD of 274, 314, 662, 328

Given numbers are 480, 135, 918, 644
The greatest common divisor of numbers 480, 135, 918, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 135, 918, 644 is 1.

1. What is the GCD of 480, 135, 918, 644?

GCD of given numbers 480, 135, 918, 644 is 1

2. How to calculate the greatest common divisor of 480, 135, 918, 644?

We can find the highest common divisor of 480, 135, 918, 644 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, 135, 918, 644 i.e 1.

3. How can I use the GCD of 480, 135, 918, 644Calculator?

Out the numbers 480, 135, 918, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.