GCD of 442, 600, 523, 464 Calculator

Given Input numbers are 442, 600, 523, 464

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (442, 600, 523, 464) = 1.

Given numbers are 442, 600, 523, 464

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 523 are 523

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

Given numbers are 442, 600, 523, 464

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

Apply this formula for all numbers.

Step1:

LCM(442, 600) = 132600

GCD(442, 600) = ( 442 x 600 ) / 132600

= 442 / 600

= 442

Step2:

LCM(2, 523) = 1046

GCD(2, 523) = ( 2 x 523 ) / 1046

= 2 / 523

= 2

Step3:

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

= 1 / 464

= 1

So, Greatest Common Divisor of 442, 600, 523, 464 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 538, 646, 605
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• GCD of 645, 444, 240, 135
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• GCD of 518, 753, 497, 531

Given numbers are 442, 600, 523, 464
The greatest common divisor of numbers 442, 600, 523, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 600, 523, 464 is 1.

1. What is the GCD of 442, 600, 523, 464?

GCD of given numbers 442, 600, 523, 464 is 1

2. How to calculate the greatest common divisor of 442, 600, 523, 464?

We can find the highest common divisor of 442, 600, 523, 464 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 442, 600, 523, 464 i.e 1.

3. How can I use the GCD of 442, 600, 523, 464Calculator?

Out the numbers 442, 600, 523, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.