GCD of 180, 825, 759, 807 Calculator

Given Input numbers are 180, 825, 759, 807

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 759 :

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

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

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

GCD of numbers is the greatest common divisor

So, the GCD (180, 825, 759, 807) = 3.

Given numbers are 180, 825, 759, 807

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 759 are 3 x 11 x 23

Prime factors of 807 are 3 x 269

The highest common occurrence is 3¹

Therefore, GCD of 180, 825, 759, 807 is 3.

Given numbers are 180, 825, 759, 807

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

Apply this formula for all numbers.

Step1:

LCM(180, 825) = 9900

GCD(180, 825) = ( 180 x 825 ) / 9900

= 180 / 825

= 180

Step2:

LCM(15, 759) = 3795

GCD(15, 759) = ( 15 x 759 ) / 3795

= 15 / 759

= 15

Step3:

LCM(3, 807) = 807

GCD(3, 807) = ( 3 x 807 ) / 807

= 3 / 807

= 3

So, Greatest Common Divisor of 180, 825, 759, 807 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 742, 343, 459
• GCD of 255, 416, 476, 902
• GCD of 233, 862, 463, 274
• GCD of 373, 290, 370, 267
• GCD of 750, 464, 383, 405

Given numbers are 180, 825, 759, 807
The greatest common divisor of numbers 180, 825, 759, 807 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 825, 759, 807 is 3.

1. What is the GCD of 180, 825, 759, 807?

GCD of given numbers 180, 825, 759, 807 is 3

2. How to calculate the greatest common divisor of 180, 825, 759, 807?

We can find the highest common divisor of 180, 825, 759, 807 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 180, 825, 759, 807 i.e 3.

3. How can I use the GCD of 180, 825, 759, 807Calculator?

Out the numbers 180, 825, 759, 807 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.