GCD of 360, 384, 705, 771 Calculator

Given Input numbers are 360, 384, 705, 771

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

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 705 :

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

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

Divisors of 771 :

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

1, 3, 257, 771

GCD of numbers is the greatest common divisor

So, the GCD (360, 384, 705, 771) = 3.

Given numbers are 360, 384, 705, 771

The list of prime factors of all numbers are

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

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 705 are 3 x 5 x 47

Prime factors of 771 are 3 x 257

The highest common occurrence is 3¹

Therefore, GCD of 360, 384, 705, 771 is 3.

Given numbers are 360, 384, 705, 771

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

Apply this formula for all numbers.

Step1:

LCM(360, 384) = 5760

GCD(360, 384) = ( 360 x 384 ) / 5760

= 360 / 384

= 360

Step2:

LCM(24, 705) = 5640

GCD(24, 705) = ( 24 x 705 ) / 5640

= 24 / 705

= 24

Step3:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3

So, Greatest Common Divisor of 360, 384, 705, 771 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 485, 986, 635
• GCD of 252, 526, 677, 162
• GCD of 483, 217, 101, 804
• GCD of 644, 276, 892, 793
• GCD of 641, 320, 825, 442

Given numbers are 360, 384, 705, 771
The greatest common divisor of numbers 360, 384, 705, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 384, 705, 771 is 3.

1. What is the GCD of 360, 384, 705, 771?

GCD of given numbers 360, 384, 705, 771 is 3

2. How to calculate the greatest common divisor of 360, 384, 705, 771?

We can find the highest common divisor of 360, 384, 705, 771 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 360, 384, 705, 771 i.e 3.

3. How can I use the GCD of 360, 384, 705, 771Calculator?

Out the numbers 360, 384, 705, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.