GCD of 416, 724, 786, 180 Calculator

Given Input numbers are 416, 724, 786, 180

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

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

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

GCD of numbers is the greatest common divisor

So, the GCD (416, 724, 786, 180) = 2.

Given numbers are 416, 724, 786, 180

The list of prime factors of all numbers are

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 724 are 2 x 2 x 181

Prime factors of 786 are 2 x 3 x 131

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

The highest common occurrence is 2¹

Therefore, GCD of 416, 724, 786, 180 is 2.

Given numbers are 416, 724, 786, 180

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

Apply this formula for all numbers.

Step1:

LCM(416, 724) = 75296

GCD(416, 724) = ( 416 x 724 ) / 75296

= 416 / 724

= 416

Step2:

LCM(4, 786) = 1572

GCD(4, 786) = ( 4 x 786 ) / 1572

= 4 / 786

= 4

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 416, 724, 786, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 115, 661, 955
• GCD of 728, 645, 131, 560
• GCD of 301, 574, 455, 799
• GCD of 114, 798, 119, 668
• GCD of 653, 553, 545, 218

Given numbers are 416, 724, 786, 180
The greatest common divisor of numbers 416, 724, 786, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 416, 724, 786, 180 is 2.

1. What is the GCD of 416, 724, 786, 180?

GCD of given numbers 416, 724, 786, 180 is 2

2. How to calculate the greatest common divisor of 416, 724, 786, 180?

We can find the highest common divisor of 416, 724, 786, 180 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 416, 724, 786, 180 i.e 2.

3. How can I use the GCD of 416, 724, 786, 180Calculator?

Out the numbers 416, 724, 786, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.