GCD of 378, 750, 816 Calculator

Given Input numbers are 378, 750, 816

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 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

GCD of numbers is the greatest common divisor

So, the GCD (378, 750, 816) = 6.

Given numbers are 378, 750, 816

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 378, 750, 816 is 6.

Given numbers are 378, 750, 816

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

Apply this formula for all numbers.

Step1:

LCM(378, 750) = 47250

GCD(378, 750) = ( 378 x 750 ) / 47250

= 378 / 750

= 378

Step2:

LCM(6, 816) = 816

GCD(6, 816) = ( 6 x 816 ) / 816

= 6 / 816

= 6

So, Greatest Common Divisor of 378, 750, 816 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 809, 857
• GCD of 330, 224, 663
• GCD of 390, 187, 994
• GCD of 862, 572, 813
• GCD of 146, 744, 217

Given numbers are 378, 750, 816
The greatest common divisor of numbers 378, 750, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 750, 816 is 6.

1. What is the GCD of 378, 750, 816?

GCD of given numbers 378, 750, 816 is 6

2. How to calculate the greatest common divisor of 378, 750, 816?

We can find the highest common divisor of 378, 750, 816 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 378, 750, 816 i.e 6.

3. How can I use the GCD of 378, 750, 816Calculator?

Out the numbers 378, 750, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.