GCD of 567, 564, 480, 897 Calculator

Given Input numbers are 567, 564, 480, 897

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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 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 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

GCD of numbers is the greatest common divisor

So, the GCD (567, 564, 480, 897) = 3.

Given numbers are 567, 564, 480, 897

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

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

Prime factors of 897 are 3 x 13 x 23

The highest common occurrence is 3¹

Therefore, GCD of 567, 564, 480, 897 is 3.

Given numbers are 567, 564, 480, 897

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

Apply this formula for all numbers.

Step1:

LCM(567, 564) = 106596

GCD(567, 564) = ( 567 x 564 ) / 106596

= 567 / 564

= 567

Step2:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

Step3:

LCM(3, 897) = 897

GCD(3, 897) = ( 3 x 897 ) / 897

= 3 / 897

= 3

So, Greatest Common Divisor of 567, 564, 480, 897 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 644, 538, 136
• GCD of 399, 827, 434, 248
• GCD of 547, 935, 475, 403
• GCD of 722, 900, 543, 135
• GCD of 211, 723, 203, 977

Given numbers are 567, 564, 480, 897
The greatest common divisor of numbers 567, 564, 480, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 564, 480, 897 is 3.

1. What is the GCD of 567, 564, 480, 897?

GCD of given numbers 567, 564, 480, 897 is 3

2. How to calculate the greatest common divisor of 567, 564, 480, 897?

We can find the highest common divisor of 567, 564, 480, 897 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 567, 564, 480, 897 i.e 3.

3. How can I use the GCD of 567, 564, 480, 897Calculator?

Out the numbers 567, 564, 480, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.