GCD of 264, 420, 644, 543 Calculator

Given Input numbers are 264, 420, 644, 543

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

GCD of numbers is the greatest common divisor

So, the GCD (264, 420, 644, 543) = 1.

Given numbers are 264, 420, 644, 543

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 543 are 3 x 181

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

Given numbers are 264, 420, 644, 543

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

Apply this formula for all numbers.

Step1:

LCM(264, 420) = 9240

GCD(264, 420) = ( 264 x 420 ) / 9240

= 264 / 420

= 264

Step2:

LCM(12, 644) = 1932

GCD(12, 644) = ( 12 x 644 ) / 1932

= 12 / 644

= 12

Step3:

LCM(4, 543) = 2172

GCD(4, 543) = ( 4 x 543 ) / 2172

= 4 / 543

= 4

So, Greatest Common Divisor of 264, 420, 644, 543 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 667, 265, 299
• GCD of 496, 399, 509, 694
• GCD of 161, 947, 694, 706
• GCD of 209, 874, 794, 561
• GCD of 179, 275, 623, 548

Given numbers are 264, 420, 644, 543
The greatest common divisor of numbers 264, 420, 644, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 420, 644, 543 is 1.

1. What is the GCD of 264, 420, 644, 543?

GCD of given numbers 264, 420, 644, 543 is 1

2. How to calculate the greatest common divisor of 264, 420, 644, 543?

We can find the highest common divisor of 264, 420, 644, 543 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 264, 420, 644, 543 i.e 1.

3. How can I use the GCD of 264, 420, 644, 543Calculator?

Out the numbers 264, 420, 644, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.