GCD of 208, 388, 456, 721 Calculator

Given Input numbers are 208, 388, 456, 721

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 (208, 388, 456, 721) = 1.

Given numbers are 208, 388, 456, 721

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 388 are 2 x 2 x 97

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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 208, 388, 456, 721

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

Apply this formula for all numbers.

Step1:

LCM(208, 388) = 20176

GCD(208, 388) = ( 208 x 388 ) / 20176

= 208 / 388

= 208

Step2:

LCM(4, 456) = 456

GCD(4, 456) = ( 4 x 456 ) / 456

= 4 / 456

= 4

Step3:

LCM(4, 721) = 2884

GCD(4, 721) = ( 4 x 721 ) / 2884

= 4 / 721

= 4

So, Greatest Common Divisor of 208, 388, 456, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 599, 299, 328
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Given numbers are 208, 388, 456, 721
The greatest common divisor of numbers 208, 388, 456, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 388, 456, 721 is 1.

1. What is the GCD of 208, 388, 456, 721?

GCD of given numbers 208, 388, 456, 721 is 1

2. How to calculate the greatest common divisor of 208, 388, 456, 721?

We can find the highest common divisor of 208, 388, 456, 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 208, 388, 456, 721 i.e 1.

3. How can I use the GCD of 208, 388, 456, 721Calculator?

Out the numbers 208, 388, 456, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.