GCD of 816, 374, 765 Calculator

Given Input numbers are 816, 374, 765

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

GCD of numbers is the greatest common divisor

So, the GCD (816, 374, 765) = 17.

Given numbers are 816, 374, 765

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 374 are 2 x 11 x 17

Prime factors of 765 are 3 x 3 x 5 x 17

The highest common occurrence is 17¹

Therefore, GCD of 816, 374, 765 is 17.

Given numbers are 816, 374, 765

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

Apply this formula for all numbers.

Step1:

LCM(816, 374) = 8976

GCD(816, 374) = ( 816 x 374 ) / 8976

= 816 / 374

= 816

Step2:

LCM(34, 765) = 1530

GCD(34, 765) = ( 34 x 765 ) / 1530

= 34 / 765

= 34

So, Greatest Common Divisor of 816, 374, 765 is 17

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 517, 689
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Given numbers are 816, 374, 765
The greatest common divisor of numbers 816, 374, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 374, 765 is 17.

1. What is the GCD of 816, 374, 765?

GCD of given numbers 816, 374, 765 is 17

2. How to calculate the greatest common divisor of 816, 374, 765?

We can find the highest common divisor of 816, 374, 765 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, 374, 765 i.e 17.

3. How can I use the GCD of 816, 374, 765Calculator?

Out the numbers 816, 374, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.