GCD of 564, 574, 97, 720 Calculator

Given Input numbers are 564, 574, 97, 720

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 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 97 :

The positive integer divisors of 97 that completely divides 97 are.

1, 97

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (564, 574, 97, 720) = 1.

Given numbers are 564, 574, 97, 720

The list of prime factors of all numbers are

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

Prime factors of 574 are 2 x 7 x 41

Prime factors of 97 are 97

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 564, 574, 97, 720

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

Apply this formula for all numbers.

Step1:

LCM(564, 574) = 161868

GCD(564, 574) = ( 564 x 574 ) / 161868

= 564 / 574

= 564

Step2:

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

= 2 / 97

= 2

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 564, 574, 97, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 483, 85, 612
• GCD of 153, 479, 82, 551
• GCD of 758, 725, 40, 844
• GCD of 775, 105, 62, 652
• GCD of 803, 801, 55, 633

Given numbers are 564, 574, 97, 720
The greatest common divisor of numbers 564, 574, 97, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 574, 97, 720 is 1.

1. What is the GCD of 564, 574, 97, 720?

GCD of given numbers 564, 574, 97, 720 is 1

2. How to calculate the greatest common divisor of 564, 574, 97, 720?

We can find the highest common divisor of 564, 574, 97, 720 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, 574, 97, 720 i.e 1.

3. How can I use the GCD of 564, 574, 97, 720Calculator?

Out the numbers 564, 574, 97, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.