GCD of 912, 742, 777, 360 Calculator

Given Input numbers are 912, 742, 777, 360

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

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 (912, 742, 777, 360) = 1.

Given numbers are 912, 742, 777, 360

The list of prime factors of all numbers are

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 742 are 2 x 7 x 53

Prime factors of 777 are 3 x 7 x 37

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 912, 742, 777, 360

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

Apply this formula for all numbers.

Step1:

LCM(912, 742) = 338352

GCD(912, 742) = ( 912 x 742 ) / 338352

= 912 / 742

= 912

Step2:

LCM(2, 777) = 1554

GCD(2, 777) = ( 2 x 777 ) / 1554

= 2 / 777

= 2

Step3:

LCM(1, 360) = 360

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

= 1 / 360

= 1

So, Greatest Common Divisor of 912, 742, 777, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 557, 434, 525
• GCD of 430, 401, 228, 836
• GCD of 691, 790, 488, 871
• GCD of 359, 499, 471, 465
• GCD of 322, 966, 540, 227

Given numbers are 912, 742, 777, 360
The greatest common divisor of numbers 912, 742, 777, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 742, 777, 360 is 1.

1. What is the GCD of 912, 742, 777, 360?

GCD of given numbers 912, 742, 777, 360 is 1

2. How to calculate the greatest common divisor of 912, 742, 777, 360?

We can find the highest common divisor of 912, 742, 777, 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 912, 742, 777, 360 i.e 1.

3. How can I use the GCD of 912, 742, 777, 360Calculator?

Out the numbers 912, 742, 777, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.