GCD of 298, 644, 360, 912 Calculator

Given Input numbers are 298, 644, 360, 912

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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 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

GCD of numbers is the greatest common divisor

So, the GCD (298, 644, 360, 912) = 2.

Given numbers are 298, 644, 360, 912

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 644 are 2 x 2 x 7 x 23

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

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

The highest common occurrence is 2¹

Therefore, GCD of 298, 644, 360, 912 is 2.

Given numbers are 298, 644, 360, 912

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

Apply this formula for all numbers.

Step1:

LCM(298, 644) = 95956

GCD(298, 644) = ( 298 x 644 ) / 95956

= 298 / 644

= 298

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

= 2 / 912

= 2

So, Greatest Common Divisor of 298, 644, 360, 912 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 462, 990, 566
• GCD of 452, 625, 400, 486
• GCD of 276, 256, 890, 360
• GCD of 400, 610, 597, 806
• GCD of 312, 520, 326, 535

Given numbers are 298, 644, 360, 912
The greatest common divisor of numbers 298, 644, 360, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 644, 360, 912 is 2.

1. What is the GCD of 298, 644, 360, 912?

GCD of given numbers 298, 644, 360, 912 is 2

2. How to calculate the greatest common divisor of 298, 644, 360, 912?

We can find the highest common divisor of 298, 644, 360, 912 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 298, 644, 360, 912 i.e 2.

3. How can I use the GCD of 298, 644, 360, 912Calculator?

Out the numbers 298, 644, 360, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.