GCD of 100, 204, 962, 992 Calculator

Given Input numbers are 100, 204, 962, 992

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 962 :

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

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (100, 204, 962, 992) = 2.

Given numbers are 100, 204, 962, 992

The list of prime factors of all numbers are

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

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 962 are 2 x 13 x 37

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 100, 204, 962, 992 is 2.

Given numbers are 100, 204, 962, 992

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

Apply this formula for all numbers.

Step1:

LCM(100, 204) = 5100

GCD(100, 204) = ( 100 x 204 ) / 5100

= 100 / 204

= 100

Step2:

LCM(4, 962) = 1924

GCD(4, 962) = ( 4 x 962 ) / 1924

= 4 / 962

= 4

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 100, 204, 962, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 631, 336, 981
• GCD of 391, 844, 952, 123
• GCD of 166, 538, 440, 268
• GCD of 994, 610, 241, 593
• GCD of 281, 901, 291, 347

Given numbers are 100, 204, 962, 992
The greatest common divisor of numbers 100, 204, 962, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 204, 962, 992 is 2.

1. What is the GCD of 100, 204, 962, 992?

GCD of given numbers 100, 204, 962, 992 is 2

2. How to calculate the greatest common divisor of 100, 204, 962, 992?

We can find the highest common divisor of 100, 204, 962, 992 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, 204, 962, 992 i.e 2.

3. How can I use the GCD of 100, 204, 962, 992Calculator?

Out the numbers 100, 204, 962, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.