GCD of 204, 134, 40, 350 Calculator

Given Input numbers are 204, 134, 40, 350

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

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 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (204, 134, 40, 350) = 2.

Given numbers are 204, 134, 40, 350

The list of prime factors of all numbers are

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

Prime factors of 134 are 2 x 67

Prime factors of 40 are 2 x 2 x 2 x 5

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 204, 134, 40, 350 is 2.

Given numbers are 204, 134, 40, 350

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

Apply this formula for all numbers.

Step1:

LCM(204, 134) = 13668

GCD(204, 134) = ( 204 x 134 ) / 13668

= 204 / 134

= 204

Step2:

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

= 2 / 40

= 2

Step3:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

So, Greatest Common Divisor of 204, 134, 40, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 429, 90, 830
• GCD of 549, 748, 98, 513
• GCD of 762, 266, 50, 683
• GCD of 660, 979, 48, 502
• GCD of 892, 332, 54, 726

Given numbers are 204, 134, 40, 350
The greatest common divisor of numbers 204, 134, 40, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 134, 40, 350 is 2.

1. What is the GCD of 204, 134, 40, 350?

GCD of given numbers 204, 134, 40, 350 is 2

2. How to calculate the greatest common divisor of 204, 134, 40, 350?

We can find the highest common divisor of 204, 134, 40, 350 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 204, 134, 40, 350 i.e 2.

3. How can I use the GCD of 204, 134, 40, 350Calculator?

Out the numbers 204, 134, 40, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.