GCD of 492, 638, 721, 575 Calculator

Given Input numbers are 492, 638, 721, 575

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 721 :

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

1, 7, 103, 721

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

GCD of numbers is the greatest common divisor

So, the GCD (492, 638, 721, 575) = 1.

Given numbers are 492, 638, 721, 575

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 638 are 2 x 11 x 29

Prime factors of 721 are 7 x 103

Prime factors of 575 are 5 x 5 x 23

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

Given numbers are 492, 638, 721, 575

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

Apply this formula for all numbers.

Step1:

LCM(492, 638) = 156948

GCD(492, 638) = ( 492 x 638 ) / 156948

= 492 / 638

= 492

Step2:

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

= 2 / 721

= 2

Step3:

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

= 1 / 575

= 1

So, Greatest Common Divisor of 492, 638, 721, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 604, 534, 949
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• GCD of 609, 542, 333, 255

Given numbers are 492, 638, 721, 575
The greatest common divisor of numbers 492, 638, 721, 575 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 638, 721, 575 is 1.

1. What is the GCD of 492, 638, 721, 575?

GCD of given numbers 492, 638, 721, 575 is 1

2. How to calculate the greatest common divisor of 492, 638, 721, 575?

We can find the highest common divisor of 492, 638, 721, 575 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 492, 638, 721, 575 i.e 1.

3. How can I use the GCD of 492, 638, 721, 575Calculator?

Out the numbers 492, 638, 721, 575 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.