GCD of 855, 135, 65, 414 Calculator

Given Input numbers are 855, 135, 65, 414

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

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 135 :

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

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

Divisors of 65 :

The positive integer divisors of 65 that completely divides 65 are.

1, 5, 13, 65

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (855, 135, 65, 414) = 1.

Given numbers are 855, 135, 65, 414

The list of prime factors of all numbers are

Prime factors of 855 are 3 x 3 x 5 x 19

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

Prime factors of 65 are 5 x 13

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 855, 135, 65, 414

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

Apply this formula for all numbers.

Step1:

LCM(855, 135) = 2565

GCD(855, 135) = ( 855 x 135 ) / 2565

= 855 / 135

= 855

Step2:

LCM(45, 65) = 585

GCD(45, 65) = ( 45 x 65 ) / 585

= 45 / 65

= 45

Step3:

LCM(5, 414) = 2070

GCD(5, 414) = ( 5 x 414 ) / 2070

= 5 / 414

= 5

So, Greatest Common Divisor of 855, 135, 65, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 631, 50, 618
• GCD of 868, 215, 96, 626
• GCD of 300, 145, 26, 486
• GCD of 735, 981, 50, 548
• GCD of 568, 147, 34, 594

Given numbers are 855, 135, 65, 414
The greatest common divisor of numbers 855, 135, 65, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 135, 65, 414 is 1.

1. What is the GCD of 855, 135, 65, 414?

GCD of given numbers 855, 135, 65, 414 is 1

2. How to calculate the greatest common divisor of 855, 135, 65, 414?

We can find the highest common divisor of 855, 135, 65, 414 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 855, 135, 65, 414 i.e 1.

3. How can I use the GCD of 855, 135, 65, 414Calculator?

Out the numbers 855, 135, 65, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.