GCD of 116, 438, 220, 190 Calculator

Given Input numbers are 116, 438, 220, 190

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

GCD of numbers is the greatest common divisor

So, the GCD (116, 438, 220, 190) = 2.

Given numbers are 116, 438, 220, 190

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 438 are 2 x 3 x 73

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 190 are 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 116, 438, 220, 190 is 2.

Given numbers are 116, 438, 220, 190

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

Apply this formula for all numbers.

Step1:

LCM(116, 438) = 25404

GCD(116, 438) = ( 116 x 438 ) / 25404

= 116 / 438

= 116

Step2:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

Step3:

LCM(2, 190) = 190

GCD(2, 190) = ( 2 x 190 ) / 190

= 2 / 190

= 2

So, Greatest Common Divisor of 116, 438, 220, 190 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 974, 623, 847
• GCD of 989, 517, 783, 523
• GCD of 531, 825, 566, 284
• GCD of 708, 480, 341, 329
• GCD of 416, 471, 559, 883

Given numbers are 116, 438, 220, 190
The greatest common divisor of numbers 116, 438, 220, 190 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 438, 220, 190 is 2.

1. What is the GCD of 116, 438, 220, 190?

GCD of given numbers 116, 438, 220, 190 is 2

2. How to calculate the greatest common divisor of 116, 438, 220, 190?

We can find the highest common divisor of 116, 438, 220, 190 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 116, 438, 220, 190 i.e 2.

3. How can I use the GCD of 116, 438, 220, 190Calculator?

Out the numbers 116, 438, 220, 190 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.