GCD of 129, 480, 242, 213 Calculator

Given Input numbers are 129, 480, 242, 213

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

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (129, 480, 242, 213) = 1.

Given numbers are 129, 480, 242, 213

The list of prime factors of all numbers are

Prime factors of 129 are 3 x 43

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

Prime factors of 242 are 2 x 11 x 11

Prime factors of 213 are 3 x 71

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

Given numbers are 129, 480, 242, 213

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

Apply this formula for all numbers.

Step1:

LCM(129, 480) = 20640

GCD(129, 480) = ( 129 x 480 ) / 20640

= 129 / 480

= 129

Step2:

LCM(3, 242) = 726

GCD(3, 242) = ( 3 x 242 ) / 726

= 3 / 242

= 3

Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 129, 480, 242, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 183, 181, 940
• GCD of 391, 441, 923, 532
• GCD of 948, 849, 844, 299
• GCD of 973, 734, 233, 288
• GCD of 122, 374, 181, 734

Given numbers are 129, 480, 242, 213
The greatest common divisor of numbers 129, 480, 242, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 480, 242, 213 is 1.

1. What is the GCD of 129, 480, 242, 213?

GCD of given numbers 129, 480, 242, 213 is 1

2. How to calculate the greatest common divisor of 129, 480, 242, 213?

We can find the highest common divisor of 129, 480, 242, 213 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 129, 480, 242, 213 i.e 1.

3. How can I use the GCD of 129, 480, 242, 213Calculator?

Out the numbers 129, 480, 242, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.