GCD of 567, 648, 420, 520 Calculator

Given Input numbers are 567, 648, 420, 520

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

GCD of numbers is the greatest common divisor

So, the GCD (567, 648, 420, 520) = 1.

Given numbers are 567, 648, 420, 520

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 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

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

Given numbers are 567, 648, 420, 520

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

Apply this formula for all numbers.

Step1:

LCM(567, 648) = 4536

GCD(567, 648) = ( 567 x 648 ) / 4536

= 567 / 648

= 567

Step2:

LCM(81, 420) = 11340

GCD(81, 420) = ( 81 x 420 ) / 11340

= 81 / 420

= 81

Step3:

LCM(3, 520) = 1560

GCD(3, 520) = ( 3 x 520 ) / 1560

= 3 / 520

= 3

So, Greatest Common Divisor of 567, 648, 420, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 714, 257, 480
• GCD of 821, 174, 640, 666
• GCD of 624, 674, 904, 615
• GCD of 182, 840, 244, 581
• GCD of 530, 452, 481, 528

Given numbers are 567, 648, 420, 520
The greatest common divisor of numbers 567, 648, 420, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 648, 420, 520 is 1.

1. What is the GCD of 567, 648, 420, 520?

GCD of given numbers 567, 648, 420, 520 is 1

2. How to calculate the greatest common divisor of 567, 648, 420, 520?

We can find the highest common divisor of 567, 648, 420, 520 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, 648, 420, 520 i.e 1.

3. How can I use the GCD of 567, 648, 420, 520Calculator?

Out the numbers 567, 648, 420, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.