GCD of 135, 507, 899, 400 Calculator

Given Input numbers are 135, 507, 899, 400

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 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 899 :

The positive integer divisors of 899 that completely divides 899 are.

1, 29, 31, 899

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (135, 507, 899, 400) = 1.

Given numbers are 135, 507, 899, 400

The list of prime factors of all numbers are

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

Prime factors of 507 are 3 x 13 x 13

Prime factors of 899 are 29 x 31

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 135, 507, 899, 400

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

Apply this formula for all numbers.

Step1:

LCM(135, 507) = 22815

GCD(135, 507) = ( 135 x 507 ) / 22815

= 135 / 507

= 135

Step2:

LCM(3, 899) = 2697

GCD(3, 899) = ( 3 x 899 ) / 2697

= 3 / 899

= 3

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 135, 507, 899, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 667, 893, 851
• GCD of 434, 323, 103, 727
• GCD of 345, 283, 406, 538
• GCD of 844, 491, 295, 138
• GCD of 712, 617, 392, 348

Given numbers are 135, 507, 899, 400
The greatest common divisor of numbers 135, 507, 899, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 507, 899, 400 is 1.

1. What is the GCD of 135, 507, 899, 400?

GCD of given numbers 135, 507, 899, 400 is 1

2. How to calculate the greatest common divisor of 135, 507, 899, 400?

We can find the highest common divisor of 135, 507, 899, 400 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, 507, 899, 400 i.e 1.

3. How can I use the GCD of 135, 507, 899, 400Calculator?

Out the numbers 135, 507, 899, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.