GCD of 645, 954, 255, 180 Calculator

Given Input numbers are 645, 954, 255, 180

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

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

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 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (645, 954, 255, 180) = 3.

Given numbers are 645, 954, 255, 180

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

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

Prime factors of 255 are 3 x 5 x 17

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 645, 954, 255, 180 is 3.

Given numbers are 645, 954, 255, 180

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

Apply this formula for all numbers.

Step1:

LCM(645, 954) = 205110

GCD(645, 954) = ( 645 x 954 ) / 205110

= 645 / 954

= 645

Step2:

LCM(3, 255) = 255

GCD(3, 255) = ( 3 x 255 ) / 255

= 3 / 255

= 3

Step3:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

So, Greatest Common Divisor of 645, 954, 255, 180 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 502, 350, 700
• GCD of 672, 105, 401, 275
• GCD of 162, 760, 186, 732
• GCD of 842, 430, 198, 113
• GCD of 976, 180, 119, 215

Given numbers are 645, 954, 255, 180
The greatest common divisor of numbers 645, 954, 255, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 954, 255, 180 is 3.

1. What is the GCD of 645, 954, 255, 180?

GCD of given numbers 645, 954, 255, 180 is 3

2. How to calculate the greatest common divisor of 645, 954, 255, 180?

We can find the highest common divisor of 645, 954, 255, 180 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 645, 954, 255, 180 i.e 3.

3. How can I use the GCD of 645, 954, 255, 180Calculator?

Out the numbers 645, 954, 255, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.