GCD of 564, 975, 441, 497 Calculator

Given Input numbers are 564, 975, 441, 497

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

GCD of numbers is the greatest common divisor

So, the GCD (564, 975, 441, 497) = 1.

Given numbers are 564, 975, 441, 497

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 497 are 7 x 71

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

Given numbers are 564, 975, 441, 497

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

Apply this formula for all numbers.

Step1:

LCM(564, 975) = 183300

GCD(564, 975) = ( 564 x 975 ) / 183300

= 564 / 975

= 564

Step2:

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

= 3 / 441

= 3

Step3:

LCM(3, 497) = 1491

GCD(3, 497) = ( 3 x 497 ) / 1491

= 3 / 497

= 3

So, Greatest Common Divisor of 564, 975, 441, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 775, 786, 791
• GCD of 933, 118, 475, 637
• GCD of 686, 330, 766, 910
• GCD of 990, 289, 777, 741
• GCD of 379, 854, 409, 360

Given numbers are 564, 975, 441, 497
The greatest common divisor of numbers 564, 975, 441, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 975, 441, 497 is 1.

1. What is the GCD of 564, 975, 441, 497?

GCD of given numbers 564, 975, 441, 497 is 1

2. How to calculate the greatest common divisor of 564, 975, 441, 497?

We can find the highest common divisor of 564, 975, 441, 497 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 564, 975, 441, 497 i.e 1.

3. How can I use the GCD of 564, 975, 441, 497Calculator?

Out the numbers 564, 975, 441, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.