GCD of 488, 224, 456, 821 Calculator

Given Input numbers are 488, 224, 456, 821

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (488, 224, 456, 821) = 1.

Given numbers are 488, 224, 456, 821

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Prime factors of 821 are 821

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

Given numbers are 488, 224, 456, 821

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

Apply this formula for all numbers.

Step1:

LCM(488, 224) = 13664

GCD(488, 224) = ( 488 x 224 ) / 13664

= 488 / 224

= 488

Step2:

LCM(8, 456) = 456

GCD(8, 456) = ( 8 x 456 ) / 456

= 8 / 456

= 8

Step3:

LCM(8, 821) = 6568

GCD(8, 821) = ( 8 x 821 ) / 6568

= 8 / 821

= 8

So, Greatest Common Divisor of 488, 224, 456, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 622, 466, 712
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Given numbers are 488, 224, 456, 821
The greatest common divisor of numbers 488, 224, 456, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 224, 456, 821 is 1.

1. What is the GCD of 488, 224, 456, 821?

GCD of given numbers 488, 224, 456, 821 is 1

2. How to calculate the greatest common divisor of 488, 224, 456, 821?

We can find the highest common divisor of 488, 224, 456, 821 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 488, 224, 456, 821 i.e 1.

3. How can I use the GCD of 488, 224, 456, 821Calculator?

Out the numbers 488, 224, 456, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.