GCD of 483, 344, 414, 720 Calculator

Given Input numbers are 483, 344, 414, 720

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

Divisors of 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 (483, 344, 414, 720) = 1.

Given numbers are 483, 344, 414, 720

The list of prime factors of all numbers are

Prime factors of 483 are 3 x 7 x 23

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 414 are 2 x 3 x 3 x 23

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 483, 344, 414, 720

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

Apply this formula for all numbers.

Step1:

LCM(483, 344) = 166152

GCD(483, 344) = ( 483 x 344 ) / 166152

= 483 / 344

= 483

Step2:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

Step3:

LCM(1, 720) = 720

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

= 1 / 720

= 1

So, Greatest Common Divisor of 483, 344, 414, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 962, 741, 252
• GCD of 657, 507, 335, 956
• GCD of 977, 216, 321, 559
• GCD of 145, 699, 113, 923
• GCD of 246, 452, 981, 213

Given numbers are 483, 344, 414, 720
The greatest common divisor of numbers 483, 344, 414, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 483, 344, 414, 720 is 1.

1. What is the GCD of 483, 344, 414, 720?

GCD of given numbers 483, 344, 414, 720 is 1

2. How to calculate the greatest common divisor of 483, 344, 414, 720?

We can find the highest common divisor of 483, 344, 414, 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 483, 344, 414, 720 i.e 1.

3. How can I use the GCD of 483, 344, 414, 720Calculator?

Out the numbers 483, 344, 414, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.