GCD of 180, 766, 366, 726 Calculator

Given Input numbers are 180, 766, 366, 726

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 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (180, 766, 366, 726) = 2.

Given numbers are 180, 766, 366, 726

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 766 are 2 x 383

Prime factors of 366 are 2 x 3 x 61

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 180, 766, 366, 726 is 2.

Given numbers are 180, 766, 366, 726

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

Apply this formula for all numbers.

Step1:

LCM(180, 766) = 68940

GCD(180, 766) = ( 180 x 766 ) / 68940

= 180 / 766

= 180

Step2:

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

= 2 / 366

= 2

Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

So, Greatest Common Divisor of 180, 766, 366, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 938, 843, 519
• GCD of 112, 106, 823, 514
• GCD of 207, 201, 206, 971
• GCD of 847, 832, 615, 991
• GCD of 871, 898, 386, 195

Given numbers are 180, 766, 366, 726
The greatest common divisor of numbers 180, 766, 366, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 766, 366, 726 is 2.

1. What is the GCD of 180, 766, 366, 726?

GCD of given numbers 180, 766, 366, 726 is 2

2. How to calculate the greatest common divisor of 180, 766, 366, 726?

We can find the highest common divisor of 180, 766, 366, 726 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, 766, 366, 726 i.e 2.

3. How can I use the GCD of 180, 766, 366, 726Calculator?

Out the numbers 180, 766, 366, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.