GCD of 296, 816, 772, 918 Calculator

Given Input numbers are 296, 816, 772, 918

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

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

GCD of numbers is the greatest common divisor

So, the GCD (296, 816, 772, 918) = 2.

Given numbers are 296, 816, 772, 918

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 772 are 2 x 2 x 193

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

The highest common occurrence is 2¹

Therefore, GCD of 296, 816, 772, 918 is 2.

Given numbers are 296, 816, 772, 918

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

Apply this formula for all numbers.

Step1:

LCM(296, 816) = 30192

GCD(296, 816) = ( 296 x 816 ) / 30192

= 296 / 816

= 296

Step2:

LCM(8, 772) = 1544

GCD(8, 772) = ( 8 x 772 ) / 1544

= 8 / 772

= 8

Step3:

LCM(4, 918) = 1836

GCD(4, 918) = ( 4 x 918 ) / 1836

= 4 / 918

= 4

So, Greatest Common Divisor of 296, 816, 772, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 728, 590, 766
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• GCD of 123, 573, 439, 545

Given numbers are 296, 816, 772, 918
The greatest common divisor of numbers 296, 816, 772, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 816, 772, 918 is 2.

1. What is the GCD of 296, 816, 772, 918?

GCD of given numbers 296, 816, 772, 918 is 2

2. How to calculate the greatest common divisor of 296, 816, 772, 918?

We can find the highest common divisor of 296, 816, 772, 918 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 296, 816, 772, 918 i.e 2.

3. How can I use the GCD of 296, 816, 772, 918Calculator?

Out the numbers 296, 816, 772, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.