GCD of 918, 728, 84, 612 Calculator

Given Input numbers are 918, 728, 84, 612

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

GCD of numbers is the greatest common divisor

So, the GCD (918, 728, 84, 612) = 2.

Given numbers are 918, 728, 84, 612

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 918, 728, 84, 612 is 2.

Given numbers are 918, 728, 84, 612

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

Apply this formula for all numbers.

Step1:

LCM(918, 728) = 334152

GCD(918, 728) = ( 918 x 728 ) / 334152

= 918 / 728

= 918

Step2:

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

= 2 / 84

= 2

Step3:

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

= 2 / 612

= 2

So, Greatest Common Divisor of 918, 728, 84, 612 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 274, 99, 641
• GCD of 289, 232, 79, 247
• GCD of 457, 651, 97, 987
• GCD of 301, 408, 77, 437
• GCD of 148, 683, 14, 571

Given numbers are 918, 728, 84, 612
The greatest common divisor of numbers 918, 728, 84, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 728, 84, 612 is 2.

1. What is the GCD of 918, 728, 84, 612?

GCD of given numbers 918, 728, 84, 612 is 2

2. How to calculate the greatest common divisor of 918, 728, 84, 612?

We can find the highest common divisor of 918, 728, 84, 612 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 918, 728, 84, 612 i.e 2.

3. How can I use the GCD of 918, 728, 84, 612Calculator?

Out the numbers 918, 728, 84, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.