GCD of 360, 771, 257, 936 Calculator

Given Input numbers are 360, 771, 257, 936

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 771 :

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

1, 3, 257, 771

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

GCD of numbers is the greatest common divisor

So, the GCD (360, 771, 257, 936) = 1.

Given numbers are 360, 771, 257, 936

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 771 are 3 x 257

Prime factors of 257 are 257

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

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

Given numbers are 360, 771, 257, 936

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

Apply this formula for all numbers.

Step1:

LCM(360, 771) = 92520

GCD(360, 771) = ( 360 x 771 ) / 92520

= 360 / 771

= 360

Step2:

LCM(3, 257) = 771

GCD(3, 257) = ( 3 x 257 ) / 771

= 3 / 257

= 3

Step3:

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

= 1 / 936

= 1

So, Greatest Common Divisor of 360, 771, 257, 936 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 449, 321, 900
• GCD of 212, 683, 472, 766
• GCD of 910, 911, 738, 504
• GCD of 512, 356, 563, 188
• GCD of 605, 893, 527, 193

Given numbers are 360, 771, 257, 936
The greatest common divisor of numbers 360, 771, 257, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 771, 257, 936 is 1.

1. What is the GCD of 360, 771, 257, 936?

GCD of given numbers 360, 771, 257, 936 is 1

2. How to calculate the greatest common divisor of 360, 771, 257, 936?

We can find the highest common divisor of 360, 771, 257, 936 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, 771, 257, 936 i.e 1.

3. How can I use the GCD of 360, 771, 257, 936Calculator?

Out the numbers 360, 771, 257, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.