GCD of 735, 627, 780, 165 Calculator

Given Input numbers are 735, 627, 780, 165

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (735, 627, 780, 165) = 3.

Given numbers are 735, 627, 780, 165

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 627 are 3 x 11 x 19

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 165 are 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 735, 627, 780, 165 is 3.

Given numbers are 735, 627, 780, 165

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

Apply this formula for all numbers.

Step1:

LCM(735, 627) = 153615

GCD(735, 627) = ( 735 x 627 ) / 153615

= 735 / 627

= 735

Step2:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

Step3:

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

= 3 / 165

= 3

So, Greatest Common Divisor of 735, 627, 780, 165 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 581, 406, 703
• GCD of 712, 922, 184, 761
• GCD of 167, 787, 232, 255
• GCD of 668, 172, 177, 826
• GCD of 275, 445, 801, 156

Given numbers are 735, 627, 780, 165
The greatest common divisor of numbers 735, 627, 780, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 627, 780, 165 is 3.

1. What is the GCD of 735, 627, 780, 165?

GCD of given numbers 735, 627, 780, 165 is 3

2. How to calculate the greatest common divisor of 735, 627, 780, 165?

We can find the highest common divisor of 735, 627, 780, 165 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 735, 627, 780, 165 i.e 3.

3. How can I use the GCD of 735, 627, 780, 165Calculator?

Out the numbers 735, 627, 780, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.