GCD of 512, 312, 100, 916 Calculator

Given Input numbers are 512, 312, 100, 916

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (512, 312, 100, 916) = 4.

Given numbers are 512, 312, 100, 916

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2²

Therefore, GCD of 512, 312, 100, 916 is 4.

Given numbers are 512, 312, 100, 916

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

Apply this formula for all numbers.

Step1:

LCM(512, 312) = 19968

GCD(512, 312) = ( 512 x 312 ) / 19968

= 512 / 312

= 512

Step2:

LCM(8, 100) = 200

GCD(8, 100) = ( 8 x 100 ) / 200

= 8 / 100

= 8

Step3:

LCM(4, 916) = 916

GCD(4, 916) = ( 4 x 916 ) / 916

= 4 / 916

= 4

So, Greatest Common Divisor of 512, 312, 100, 916 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 837, 921, 338
• GCD of 233, 889, 791, 725
• GCD of 944, 177, 532, 524
• GCD of 679, 872, 710, 986
• GCD of 819, 313, 635, 627

Given numbers are 512, 312, 100, 916
The greatest common divisor of numbers 512, 312, 100, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 312, 100, 916 is 4.

1. What is the GCD of 512, 312, 100, 916?

GCD of given numbers 512, 312, 100, 916 is 4

2. How to calculate the greatest common divisor of 512, 312, 100, 916?

We can find the highest common divisor of 512, 312, 100, 916 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 512, 312, 100, 916 i.e 4.

3. How can I use the GCD of 512, 312, 100, 916Calculator?

Out the numbers 512, 312, 100, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.