GCD of 196, 300, 100 Calculator

Given Input numbers are 196, 300, 100

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

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (196, 300, 100) = 4.

Given numbers are 196, 300, 100

The list of prime factors of all numbers are

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

The highest common occurrence is 2²

Therefore, GCD of 196, 300, 100 is 4.

Given numbers are 196, 300, 100

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

Apply this formula for all numbers.

Step1:

LCM(196, 300) = 14700

GCD(196, 300) = ( 196 x 300 ) / 14700

= 196 / 300

= 196

Step2:

LCM(4, 100) = 100

GCD(4, 100) = ( 4 x 100 ) / 100

= 4 / 100

= 4

So, Greatest Common Divisor of 196, 300, 100 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 473, 407
• GCD of 489, 426, 561
• GCD of 473, 761, 855
• GCD of 258, 913, 591
• GCD of 921, 195, 993

Given numbers are 196, 300, 100
The greatest common divisor of numbers 196, 300, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 300, 100 is 4.

1. What is the GCD of 196, 300, 100?

GCD of given numbers 196, 300, 100 is 4

2. How to calculate the greatest common divisor of 196, 300, 100?

We can find the highest common divisor of 196, 300, 100 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 196, 300, 100 i.e 4.

3. How can I use the GCD of 196, 300, 100Calculator?

Out the numbers 196, 300, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.