GCD of 135, 309, 699, 427 Calculator

Given Input numbers are 135, 309, 699, 427

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

GCD of numbers is the greatest common divisor

So, the GCD (135, 309, 699, 427) = 1.

Given numbers are 135, 309, 699, 427

The list of prime factors of all numbers are

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

Prime factors of 309 are 3 x 103

Prime factors of 699 are 3 x 233

Prime factors of 427 are 7 x 61

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

Given numbers are 135, 309, 699, 427

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

Apply this formula for all numbers.

Step1:

LCM(135, 309) = 13905

GCD(135, 309) = ( 135 x 309 ) / 13905

= 135 / 309

= 135

Step2:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

Step3:

LCM(3, 427) = 1281

GCD(3, 427) = ( 3 x 427 ) / 1281

= 3 / 427

= 3

So, Greatest Common Divisor of 135, 309, 699, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 233, 179, 650
• GCD of 969, 385, 214, 805
• GCD of 374, 796, 798, 389
• GCD of 771, 775, 228, 266
• GCD of 178, 761, 311, 914

Given numbers are 135, 309, 699, 427
The greatest common divisor of numbers 135, 309, 699, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 309, 699, 427 is 1.

1. What is the GCD of 135, 309, 699, 427?

GCD of given numbers 135, 309, 699, 427 is 1

2. How to calculate the greatest common divisor of 135, 309, 699, 427?

We can find the highest common divisor of 135, 309, 699, 427 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, 309, 699, 427 i.e 1.

3. How can I use the GCD of 135, 309, 699, 427Calculator?

Out the numbers 135, 309, 699, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.