GCD of 135, 564, 470, 905 Calculator

Given Input numbers are 135, 564, 470, 905

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

Divisors of 135 :

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

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

GCD of numbers is the greatest common divisor

So, the GCD (135, 564, 470, 905) = 1.

Given numbers are 135, 564, 470, 905

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 470 are 2 x 5 x 47

Prime factors of 905 are 5 x 181

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

Given numbers are 135, 564, 470, 905

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

Apply this formula for all numbers.

Step1:

LCM(135, 564) = 25380

GCD(135, 564) = ( 135 x 564 ) / 25380

= 135 / 564

= 135

Step2:

LCM(3, 470) = 1410

GCD(3, 470) = ( 3 x 470 ) / 1410

= 3 / 470

= 3

Step3:

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

= 1 / 905

= 1

So, Greatest Common Divisor of 135, 564, 470, 905 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 186, 796, 621
• GCD of 563, 772, 642, 459
• GCD of 615, 588, 712, 189
• GCD of 275, 644, 898, 579
• GCD of 600, 357, 627, 768

Given numbers are 135, 564, 470, 905
The greatest common divisor of numbers 135, 564, 470, 905 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 564, 470, 905 is 1.

1. What is the GCD of 135, 564, 470, 905?

GCD of given numbers 135, 564, 470, 905 is 1

2. How to calculate the greatest common divisor of 135, 564, 470, 905?

We can find the highest common divisor of 135, 564, 470, 905 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 135, 564, 470, 905 i.e 1.

3. How can I use the GCD of 135, 564, 470, 905Calculator?

Out the numbers 135, 564, 470, 905 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.