GCD of 438, 291, 413, 721 Calculator

Given Input numbers are 438, 291, 413, 721

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (438, 291, 413, 721) = 1.

Given numbers are 438, 291, 413, 721

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 291 are 3 x 97

Prime factors of 413 are 7 x 59

Prime factors of 721 are 7 x 103

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

Given numbers are 438, 291, 413, 721

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

Apply this formula for all numbers.

Step1:

LCM(438, 291) = 42486

GCD(438, 291) = ( 438 x 291 ) / 42486

= 438 / 291

= 438

Step2:

LCM(3, 413) = 1239

GCD(3, 413) = ( 3 x 413 ) / 1239

= 3 / 413

= 3

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 438, 291, 413, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 173, 526, 472
• GCD of 403, 626, 932, 854
• GCD of 952, 878, 472, 460
• GCD of 732, 929, 155, 966
• GCD of 976, 647, 995, 878

Given numbers are 438, 291, 413, 721
The greatest common divisor of numbers 438, 291, 413, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 291, 413, 721 is 1.

1. What is the GCD of 438, 291, 413, 721?

GCD of given numbers 438, 291, 413, 721 is 1

2. How to calculate the greatest common divisor of 438, 291, 413, 721?

We can find the highest common divisor of 438, 291, 413, 721 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 438, 291, 413, 721 i.e 1.

3. How can I use the GCD of 438, 291, 413, 721Calculator?

Out the numbers 438, 291, 413, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.