GCD of 480, 401, 172, 221 Calculator

Given Input numbers are 480, 401, 172, 221

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

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 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (480, 401, 172, 221) = 1.

Given numbers are 480, 401, 172, 221

The list of prime factors of all numbers are

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

Prime factors of 401 are 401

Prime factors of 172 are 2 x 2 x 43

Prime factors of 221 are 13 x 17

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

Given numbers are 480, 401, 172, 221

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

Apply this formula for all numbers.

Step1:

LCM(480, 401) = 192480

GCD(480, 401) = ( 480 x 401 ) / 192480

= 480 / 401

= 480

Step2:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

So, Greatest Common Divisor of 480, 401, 172, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 875, 213, 689
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• GCD of 571, 598, 438, 591

Given numbers are 480, 401, 172, 221
The greatest common divisor of numbers 480, 401, 172, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 401, 172, 221 is 1.

1. What is the GCD of 480, 401, 172, 221?

GCD of given numbers 480, 401, 172, 221 is 1

2. How to calculate the greatest common divisor of 480, 401, 172, 221?

We can find the highest common divisor of 480, 401, 172, 221 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 480, 401, 172, 221 i.e 1.

3. How can I use the GCD of 480, 401, 172, 221Calculator?

Out the numbers 480, 401, 172, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.