GCD of 180, 486, 92, 782 Calculator

Given Input numbers are 180, 486, 92, 782

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 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 92 :

The positive integer divisors of 92 that completely divides 92 are.

1, 2, 4, 23, 46, 92

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (180, 486, 92, 782) = 2.

Given numbers are 180, 486, 92, 782

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 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 92 are 2 x 2 x 23

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 180, 486, 92, 782 is 2.

Given numbers are 180, 486, 92, 782

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

Apply this formula for all numbers.

Step1:

LCM(180, 486) = 4860

GCD(180, 486) = ( 180 x 486 ) / 4860

= 180 / 486

= 180

Step2:

LCM(18, 92) = 828

GCD(18, 92) = ( 18 x 92 ) / 828

= 18 / 92

= 18

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 180, 486, 92, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 950, 14, 315
• GCD of 646, 898, 30, 721
• GCD of 112, 350, 24, 604
• GCD of 962, 626, 34, 594
• GCD of 868, 723, 36, 107

Given numbers are 180, 486, 92, 782
The greatest common divisor of numbers 180, 486, 92, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 486, 92, 782 is 2.

1. What is the GCD of 180, 486, 92, 782?

GCD of given numbers 180, 486, 92, 782 is 2

2. How to calculate the greatest common divisor of 180, 486, 92, 782?

We can find the highest common divisor of 180, 486, 92, 782 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, 486, 92, 782 i.e 2.

3. How can I use the GCD of 180, 486, 92, 782Calculator?

Out the numbers 180, 486, 92, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.