GCD of 100, 816, 332, 914 Calculator

Given Input numbers are 100, 816, 332, 914

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

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 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 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (100, 816, 332, 914) = 2.

Given numbers are 100, 816, 332, 914

The list of prime factors of all numbers are

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

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

Prime factors of 332 are 2 x 2 x 83

Prime factors of 914 are 2 x 457

The highest common occurrence is 2¹

Therefore, GCD of 100, 816, 332, 914 is 2.

Given numbers are 100, 816, 332, 914

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

Apply this formula for all numbers.

Step1:

LCM(100, 816) = 20400

GCD(100, 816) = ( 100 x 816 ) / 20400

= 100 / 816

= 100

Step2:

LCM(4, 332) = 332

GCD(4, 332) = ( 4 x 332 ) / 332

= 4 / 332

= 4

Step3:

LCM(4, 914) = 1828

GCD(4, 914) = ( 4 x 914 ) / 1828

= 4 / 914

= 4

So, Greatest Common Divisor of 100, 816, 332, 914 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 566, 139, 645
• GCD of 718, 875, 352, 299
• GCD of 748, 312, 791, 925
• GCD of 176, 125, 553, 398
• GCD of 553, 411, 975, 865

Given numbers are 100, 816, 332, 914
The greatest common divisor of numbers 100, 816, 332, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 816, 332, 914 is 2.

1. What is the GCD of 100, 816, 332, 914?

GCD of given numbers 100, 816, 332, 914 is 2

2. How to calculate the greatest common divisor of 100, 816, 332, 914?

We can find the highest common divisor of 100, 816, 332, 914 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 100, 816, 332, 914 i.e 2.

3. How can I use the GCD of 100, 816, 332, 914Calculator?

Out the numbers 100, 816, 332, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.