GCD of 135, 807, 509, 608 Calculator

Given Input numbers are 135, 807, 509, 608

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 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

GCD of numbers is the greatest common divisor

So, the GCD (135, 807, 509, 608) = 1.

Given numbers are 135, 807, 509, 608

The list of prime factors of all numbers are

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

Prime factors of 807 are 3 x 269

Prime factors of 509 are 509

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

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

Given numbers are 135, 807, 509, 608

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

Apply this formula for all numbers.

Step1:

LCM(135, 807) = 36315

GCD(135, 807) = ( 135 x 807 ) / 36315

= 135 / 807

= 135

Step2:

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

= 3 / 509

= 3

Step3:

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

= 1 / 608

= 1

So, Greatest Common Divisor of 135, 807, 509, 608 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 149, 813, 939
• GCD of 823, 146, 384, 907
• GCD of 700, 596, 310, 551
• GCD of 467, 942, 857, 492
• GCD of 502, 989, 940, 893

Given numbers are 135, 807, 509, 608
The greatest common divisor of numbers 135, 807, 509, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 807, 509, 608 is 1.

1. What is the GCD of 135, 807, 509, 608?

GCD of given numbers 135, 807, 509, 608 is 1

2. How to calculate the greatest common divisor of 135, 807, 509, 608?

We can find the highest common divisor of 135, 807, 509, 608 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, 807, 509, 608 i.e 1.

3. How can I use the GCD of 135, 807, 509, 608Calculator?

Out the numbers 135, 807, 509, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.