GCD of 820, 768, 966, 575 Calculator

Given Input numbers are 820, 768, 966, 575

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

GCD of numbers is the greatest common divisor

So, the GCD (820, 768, 966, 575) = 1.

Given numbers are 820, 768, 966, 575

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 575 are 5 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 820, 768, 966, 575

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

Apply this formula for all numbers.

Step1:

LCM(820, 768) = 157440

GCD(820, 768) = ( 820 x 768 ) / 157440

= 820 / 768

= 820

Step2:

LCM(4, 966) = 1932

GCD(4, 966) = ( 4 x 966 ) / 1932

= 4 / 966

= 4

Step3:

LCM(2, 575) = 1150

GCD(2, 575) = ( 2 x 575 ) / 1150

= 2 / 575

= 2

So, Greatest Common Divisor of 820, 768, 966, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 699, 459, 967
• GCD of 980, 845, 676, 637
• GCD of 208, 530, 979, 239
• GCD of 697, 592, 565, 452
• GCD of 167, 847, 815, 957

Given numbers are 820, 768, 966, 575
The greatest common divisor of numbers 820, 768, 966, 575 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 768, 966, 575 is 1.

1. What is the GCD of 820, 768, 966, 575?

GCD of given numbers 820, 768, 966, 575 is 1

2. How to calculate the greatest common divisor of 820, 768, 966, 575?

We can find the highest common divisor of 820, 768, 966, 575 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 820, 768, 966, 575 i.e 1.

3. How can I use the GCD of 820, 768, 966, 575Calculator?

Out the numbers 820, 768, 966, 575 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.