GCD of 100, 874, 108, 446 Calculator

Given Input numbers are 100, 874, 108, 446

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 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

GCD of numbers is the greatest common divisor

So, the GCD (100, 874, 108, 446) = 2.

Given numbers are 100, 874, 108, 446

The list of prime factors of all numbers are

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

Prime factors of 874 are 2 x 19 x 23

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 446 are 2 x 223

The highest common occurrence is 2¹

Therefore, GCD of 100, 874, 108, 446 is 2.

Given numbers are 100, 874, 108, 446

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

Apply this formula for all numbers.

Step1:

LCM(100, 874) = 43700

GCD(100, 874) = ( 100 x 874 ) / 43700

= 100 / 874

= 100

Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

Step3:

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

= 2 / 446

= 2

So, Greatest Common Divisor of 100, 874, 108, 446 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 280, 504, 328
• GCD of 819, 207, 962, 144
• GCD of 802, 428, 329, 765
• GCD of 708, 551, 984, 156
• GCD of 629, 776, 877, 203

Given numbers are 100, 874, 108, 446
The greatest common divisor of numbers 100, 874, 108, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 874, 108, 446 is 2.

1. What is the GCD of 100, 874, 108, 446?

GCD of given numbers 100, 874, 108, 446 is 2

2. How to calculate the greatest common divisor of 100, 874, 108, 446?

We can find the highest common divisor of 100, 874, 108, 446 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, 874, 108, 446 i.e 2.

3. How can I use the GCD of 100, 874, 108, 446Calculator?

Out the numbers 100, 874, 108, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.