GCD of 816, 678, 750, 180 Calculator

Given Input numbers are 816, 678, 750, 180

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 (816, 678, 750, 180) = 6.

Given numbers are 816, 678, 750, 180

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 678 are 2 x 3 x 113

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 816, 678, 750, 180 is 6.

Given numbers are 816, 678, 750, 180

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

Apply this formula for all numbers.

Step1:

LCM(816, 678) = 92208

GCD(816, 678) = ( 816 x 678 ) / 92208

= 816 / 678

= 816

Step2:

LCM(6, 750) = 750

GCD(6, 750) = ( 6 x 750 ) / 750

= 6 / 750

= 6

Step3:

LCM(6, 180) = 180

GCD(6, 180) = ( 6 x 180 ) / 180

= 6 / 180

= 6

So, Greatest Common Divisor of 816, 678, 750, 180 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 735, 687, 738
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Given numbers are 816, 678, 750, 180
The greatest common divisor of numbers 816, 678, 750, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 678, 750, 180 is 6.

1. What is the GCD of 816, 678, 750, 180?

GCD of given numbers 816, 678, 750, 180 is 6

2. How to calculate the greatest common divisor of 816, 678, 750, 180?

We can find the highest common divisor of 816, 678, 750, 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 816, 678, 750, 180 i.e 6.

3. How can I use the GCD of 816, 678, 750, 180Calculator?

Out the numbers 816, 678, 750, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.