GCD of 582, 442, 508, 705 Calculator

Given Input numbers are 582, 442, 508, 705

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 442 :

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

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (582, 442, 508, 705) = 1.

Given numbers are 582, 442, 508, 705

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

Prime factors of 442 are 2 x 13 x 17

Prime factors of 508 are 2 x 2 x 127

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 582, 442, 508, 705

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

Apply this formula for all numbers.

Step1:

LCM(582, 442) = 128622

GCD(582, 442) = ( 582 x 442 ) / 128622

= 582 / 442

= 582

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

Step3:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

So, Greatest Common Divisor of 582, 442, 508, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 563, 545, 307
• GCD of 249, 781, 920, 574
• GCD of 264, 601, 522, 752
• GCD of 563, 341, 270, 158
• GCD of 667, 159, 566, 164

Given numbers are 582, 442, 508, 705
The greatest common divisor of numbers 582, 442, 508, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 442, 508, 705 is 1.

1. What is the GCD of 582, 442, 508, 705?

GCD of given numbers 582, 442, 508, 705 is 1

2. How to calculate the greatest common divisor of 582, 442, 508, 705?

We can find the highest common divisor of 582, 442, 508, 705 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 582, 442, 508, 705 i.e 1.

3. How can I use the GCD of 582, 442, 508, 705Calculator?

Out the numbers 582, 442, 508, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.