GCD of 135, 402, 817, 540 Calculator

Given Input numbers are 135, 402, 817, 540

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 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

GCD of numbers is the greatest common divisor

So, the GCD (135, 402, 817, 540) = 1.

Given numbers are 135, 402, 817, 540

The list of prime factors of all numbers are

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

Prime factors of 402 are 2 x 3 x 67

Prime factors of 817 are 19 x 43

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

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

Given numbers are 135, 402, 817, 540

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

Apply this formula for all numbers.

Step1:

LCM(135, 402) = 18090

GCD(135, 402) = ( 135 x 402 ) / 18090

= 135 / 402

= 135

Step2:

LCM(3, 817) = 2451

GCD(3, 817) = ( 3 x 817 ) / 2451

= 3 / 817

= 3

Step3:

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

= 1 / 540

= 1

So, Greatest Common Divisor of 135, 402, 817, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 360, 345, 983
• GCD of 695, 223, 412, 664
• GCD of 674, 591, 722, 804
• GCD of 581, 454, 206, 830
• GCD of 618, 940, 138, 270

Given numbers are 135, 402, 817, 540
The greatest common divisor of numbers 135, 402, 817, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 402, 817, 540 is 1.

1. What is the GCD of 135, 402, 817, 540?

GCD of given numbers 135, 402, 817, 540 is 1

2. How to calculate the greatest common divisor of 135, 402, 817, 540?

We can find the highest common divisor of 135, 402, 817, 540 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, 402, 817, 540 i.e 1.

3. How can I use the GCD of 135, 402, 817, 540Calculator?

Out the numbers 135, 402, 817, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.