GCD of 368, 587, 705, 360 Calculator

Given Input numbers are 368, 587, 705, 360

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 587 :

The positive integer divisors of 587 that completely divides 587 are.

1, 587

Divisors of 705 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (368, 587, 705, 360) = 1.

Given numbers are 368, 587, 705, 360

The list of prime factors of all numbers are

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 587 are 587

Prime factors of 705 are 3 x 5 x 47

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

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

Given numbers are 368, 587, 705, 360

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

Apply this formula for all numbers.

Step1:

LCM(368, 587) = 216016

GCD(368, 587) = ( 368 x 587 ) / 216016

= 368 / 587

= 368

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 368, 587, 705, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 480, 373, 750
• GCD of 483, 733, 988, 867
• GCD of 793, 480, 176, 708
• GCD of 151, 721, 847, 783
• GCD of 276, 627, 225, 936

Given numbers are 368, 587, 705, 360
The greatest common divisor of numbers 368, 587, 705, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 587, 705, 360 is 1.

1. What is the GCD of 368, 587, 705, 360?

GCD of given numbers 368, 587, 705, 360 is 1

2. How to calculate the greatest common divisor of 368, 587, 705, 360?

We can find the highest common divisor of 368, 587, 705, 360 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 368, 587, 705, 360 i.e 1.

3. How can I use the GCD of 368, 587, 705, 360Calculator?

Out the numbers 368, 587, 705, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.