GCD of 135, 891, 772, 505 Calculator

Given Input numbers are 135, 891, 772, 505

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 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

GCD of numbers is the greatest common divisor

So, the GCD (135, 891, 772, 505) = 1.

Given numbers are 135, 891, 772, 505

The list of prime factors of all numbers are

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

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 772 are 2 x 2 x 193

Prime factors of 505 are 5 x 101

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

Given numbers are 135, 891, 772, 505

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

Apply this formula for all numbers.

Step1:

LCM(135, 891) = 4455

GCD(135, 891) = ( 135 x 891 ) / 4455

= 135 / 891

= 135

Step2:

LCM(27, 772) = 20844

GCD(27, 772) = ( 27 x 772 ) / 20844

= 27 / 772

= 27

Step3:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1

So, Greatest Common Divisor of 135, 891, 772, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 713, 927, 986
• GCD of 347, 195, 918, 374
• GCD of 773, 250, 697, 879
• GCD of 914, 256, 624, 184
• GCD of 770, 477, 487, 594

Given numbers are 135, 891, 772, 505
The greatest common divisor of numbers 135, 891, 772, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 891, 772, 505 is 1.

1. What is the GCD of 135, 891, 772, 505?

GCD of given numbers 135, 891, 772, 505 is 1

2. How to calculate the greatest common divisor of 135, 891, 772, 505?

We can find the highest common divisor of 135, 891, 772, 505 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, 891, 772, 505 i.e 1.

3. How can I use the GCD of 135, 891, 772, 505Calculator?

Out the numbers 135, 891, 772, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.