GCD of 597, 480, 669, 816 Calculator

Given Input numbers are 597, 480, 669, 816

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

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

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 (597, 480, 669, 816) = 3.

Given numbers are 597, 480, 669, 816

The list of prime factors of all numbers are

Prime factors of 597 are 3 x 199

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 669 are 3 x 223

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

The highest common occurrence is 3¹

Therefore, GCD of 597, 480, 669, 816 is 3.

Given numbers are 597, 480, 669, 816

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

Apply this formula for all numbers.

Step1:

LCM(597, 480) = 95520

GCD(597, 480) = ( 597 x 480 ) / 95520

= 597 / 480

= 597

Step2:

LCM(3, 669) = 669

GCD(3, 669) = ( 3 x 669 ) / 669

= 3 / 669

= 3

Step3:

LCM(3, 816) = 816

GCD(3, 816) = ( 3 x 816 ) / 816

= 3 / 816

= 3

So, Greatest Common Divisor of 597, 480, 669, 816 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 144, 656, 899
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• GCD of 909, 268, 347, 575

Given numbers are 597, 480, 669, 816
The greatest common divisor of numbers 597, 480, 669, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 597, 480, 669, 816 is 3.

1. What is the GCD of 597, 480, 669, 816?

GCD of given numbers 597, 480, 669, 816 is 3

2. How to calculate the greatest common divisor of 597, 480, 669, 816?

We can find the highest common divisor of 597, 480, 669, 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 597, 480, 669, 816 i.e 3.

3. How can I use the GCD of 597, 480, 669, 816Calculator?

Out the numbers 597, 480, 669, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.