GCD of 488, 224, 290, 723 Calculator

Given Input numbers are 488, 224, 290, 723

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 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (488, 224, 290, 723) = 1.

Given numbers are 488, 224, 290, 723

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 290 are 2 x 5 x 29

Prime factors of 723 are 3 x 241

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

Given numbers are 488, 224, 290, 723

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, 290) = 1160

GCD(8, 290) = ( 8 x 290 ) / 1160

= 8 / 290

= 8

Step3:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2

So, Greatest Common Divisor of 488, 224, 290, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 196, 107, 729
• GCD of 299, 490, 396, 950
• GCD of 604, 102, 458, 906
• GCD of 402, 937, 299, 503
• GCD of 335, 138, 253, 849

Given numbers are 488, 224, 290, 723
The greatest common divisor of numbers 488, 224, 290, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 224, 290, 723 is 1.

1. What is the GCD of 488, 224, 290, 723?

GCD of given numbers 488, 224, 290, 723 is 1

2. How to calculate the greatest common divisor of 488, 224, 290, 723?

We can find the highest common divisor of 488, 224, 290, 723 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, 290, 723 i.e 1.

3. How can I use the GCD of 488, 224, 290, 723Calculator?

Out the numbers 488, 224, 290, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.