GCD of 196, 338, 150 Calculator

Given Input numbers are 196, 338, 150

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

GCD of numbers is the greatest common divisor

So, the GCD (196, 338, 150) = 2.

Given numbers are 196, 338, 150

The list of prime factors of all numbers are

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

Prime factors of 338 are 2 x 13 x 13

Prime factors of 150 are 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 196, 338, 150 is 2.

Given numbers are 196, 338, 150

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

Apply this formula for all numbers.

Step1:

LCM(196, 338) = 33124

GCD(196, 338) = ( 196 x 338 ) / 33124

= 196 / 338

= 196

Step2:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

So, Greatest Common Divisor of 196, 338, 150 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 483, 777
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• GCD of 305, 204, 167
• GCD of 983, 335, 251

Given numbers are 196, 338, 150
The greatest common divisor of numbers 196, 338, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 338, 150 is 2.

1. What is the GCD of 196, 338, 150?

GCD of given numbers 196, 338, 150 is 2

2. How to calculate the greatest common divisor of 196, 338, 150?

We can find the highest common divisor of 196, 338, 150 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, 338, 150 i.e 2.

3. How can I use the GCD of 196, 338, 150Calculator?

Out the numbers 196, 338, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.