GCD of 100, 962, 864, 382 Calculator

Given Input numbers are 100, 962, 864, 382

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 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (100, 962, 864, 382) = 2.

Given numbers are 100, 962, 864, 382

The list of prime factors of all numbers are

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

Prime factors of 962 are 2 x 13 x 37

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 382 are 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 100, 962, 864, 382 is 2.

Given numbers are 100, 962, 864, 382

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

Apply this formula for all numbers.

Step1:

LCM(100, 962) = 48100

GCD(100, 962) = ( 100 x 962 ) / 48100

= 100 / 962

= 100

Step2:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

Step3:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

So, Greatest Common Divisor of 100, 962, 864, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 280, 237, 445
• GCD of 863, 459, 844, 704
• GCD of 304, 265, 716, 997
• GCD of 846, 992, 839, 270
• GCD of 430, 232, 534, 327

Given numbers are 100, 962, 864, 382
The greatest common divisor of numbers 100, 962, 864, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 962, 864, 382 is 2.

1. What is the GCD of 100, 962, 864, 382?

GCD of given numbers 100, 962, 864, 382 is 2

2. How to calculate the greatest common divisor of 100, 962, 864, 382?

We can find the highest common divisor of 100, 962, 864, 382 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, 962, 864, 382 i.e 2.

3. How can I use the GCD of 100, 962, 864, 382Calculator?

Out the numbers 100, 962, 864, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.