GCD of 759, 990, 855, 738 Calculator

Given Input numbers are 759, 990, 855, 738

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (759, 990, 855, 738) = 3.

Given numbers are 759, 990, 855, 738

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Prime factors of 738 are 2 x 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 759, 990, 855, 738 is 3.

Given numbers are 759, 990, 855, 738

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

Apply this formula for all numbers.

Step1:

LCM(759, 990) = 22770

GCD(759, 990) = ( 759 x 990 ) / 22770

= 759 / 990

= 759

Step2:

LCM(33, 855) = 9405

GCD(33, 855) = ( 33 x 855 ) / 9405

= 33 / 855

= 33

Step3:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

So, Greatest Common Divisor of 759, 990, 855, 738 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 654, 111, 987
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• GCD of 238, 251, 572, 665

Given numbers are 759, 990, 855, 738
The greatest common divisor of numbers 759, 990, 855, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 990, 855, 738 is 3.

1. What is the GCD of 759, 990, 855, 738?

GCD of given numbers 759, 990, 855, 738 is 3

2. How to calculate the greatest common divisor of 759, 990, 855, 738?

We can find the highest common divisor of 759, 990, 855, 738 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 759, 990, 855, 738 i.e 3.

3. How can I use the GCD of 759, 990, 855, 738Calculator?

Out the numbers 759, 990, 855, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.