GCD of 243, 705, 52, 480 Calculator

Given Input numbers are 243, 705, 52, 480

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

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 52 :

The positive integer divisors of 52 that completely divides 52 are.

1, 2, 4, 13, 26, 52

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

GCD of numbers is the greatest common divisor

So, the GCD (243, 705, 52, 480) = 1.

Given numbers are 243, 705, 52, 480

The list of prime factors of all numbers are

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 705 are 3 x 5 x 47

Prime factors of 52 are 2 x 2 x 13

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

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

Given numbers are 243, 705, 52, 480

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

Apply this formula for all numbers.

Step1:

LCM(243, 705) = 57105

GCD(243, 705) = ( 243 x 705 ) / 57105

= 243 / 705

= 243

Step2:

LCM(3, 52) = 156

GCD(3, 52) = ( 3 x 52 ) / 156

= 3 / 52

= 3

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 243, 705, 52, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 222, 38, 504
• GCD of 939, 936, 88, 664
• GCD of 848, 115, 42, 909
• GCD of 261, 125, 31, 353
• GCD of 846, 683, 82, 457

Given numbers are 243, 705, 52, 480
The greatest common divisor of numbers 243, 705, 52, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 705, 52, 480 is 1.

1. What is the GCD of 243, 705, 52, 480?

GCD of given numbers 243, 705, 52, 480 is 1

2. How to calculate the greatest common divisor of 243, 705, 52, 480?

We can find the highest common divisor of 243, 705, 52, 480 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 243, 705, 52, 480 i.e 1.

3. How can I use the GCD of 243, 705, 52, 480Calculator?

Out the numbers 243, 705, 52, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.