GCD of 108, 600, 196, 450 Calculator

Given Input numbers are 108, 600, 196, 450

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

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (108, 600, 196, 450) = 2.

Given numbers are 108, 600, 196, 450

The list of prime factors of all numbers are

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

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 108, 600, 196, 450 is 2.

Given numbers are 108, 600, 196, 450

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

Apply this formula for all numbers.

Step1:

LCM(108, 600) = 5400

GCD(108, 600) = ( 108 x 600 ) / 5400

= 108 / 600

= 108

Step2:

LCM(12, 196) = 588

GCD(12, 196) = ( 12 x 196 ) / 588

= 12 / 196

= 12

Step3:

LCM(4, 450) = 900

GCD(4, 450) = ( 4 x 450 ) / 900

= 4 / 450

= 4

So, Greatest Common Divisor of 108, 600, 196, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 581, 279, 987
• GCD of 701, 789, 334, 660
• GCD of 845, 531, 492, 596
• GCD of 648, 851, 243, 351
• GCD of 307, 560, 507, 100

Given numbers are 108, 600, 196, 450
The greatest common divisor of numbers 108, 600, 196, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 600, 196, 450 is 2.

1. What is the GCD of 108, 600, 196, 450?

GCD of given numbers 108, 600, 196, 450 is 2

2. How to calculate the greatest common divisor of 108, 600, 196, 450?

We can find the highest common divisor of 108, 600, 196, 450 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 108, 600, 196, 450 i.e 2.

3. How can I use the GCD of 108, 600, 196, 450Calculator?

Out the numbers 108, 600, 196, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.