GCD of 582, 771, 360, 381 Calculator

Given Input numbers are 582, 771, 360, 381

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 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (582, 771, 360, 381) = 3.

Given numbers are 582, 771, 360, 381

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

Prime factors of 771 are 3 x 257

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 582, 771, 360, 381 is 3.

Given numbers are 582, 771, 360, 381

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

Apply this formula for all numbers.

Step1:

LCM(582, 771) = 149574

GCD(582, 771) = ( 582 x 771 ) / 149574

= 582 / 771

= 582

Step2:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

Step3:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3

So, Greatest Common Divisor of 582, 771, 360, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 579, 245, 707
• GCD of 970, 984, 321, 103
• GCD of 595, 663, 850, 285
• GCD of 746, 302, 565, 466
• GCD of 162, 859, 589, 657

Given numbers are 582, 771, 360, 381
The greatest common divisor of numbers 582, 771, 360, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 771, 360, 381 is 3.

1. What is the GCD of 582, 771, 360, 381?

GCD of given numbers 582, 771, 360, 381 is 3

2. How to calculate the greatest common divisor of 582, 771, 360, 381?

We can find the highest common divisor of 582, 771, 360, 381 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, 771, 360, 381 i.e 3.

3. How can I use the GCD of 582, 771, 360, 381Calculator?

Out the numbers 582, 771, 360, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.