GCD of 136, 380, 38, 110 Calculator

Given Input numbers are 136, 380, 38, 110

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

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

GCD of numbers is the greatest common divisor

So, the GCD (136, 380, 38, 110) = 2.

Given numbers are 136, 380, 38, 110

The list of prime factors of all numbers are

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 38 are 2 x 19

Prime factors of 110 are 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 136, 380, 38, 110 is 2.

Given numbers are 136, 380, 38, 110

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

Apply this formula for all numbers.

Step1:

LCM(136, 380) = 12920

GCD(136, 380) = ( 136 x 380 ) / 12920

= 136 / 380

= 136

Step2:

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

= 4 / 38

= 4

Step3:

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

= 2 / 110

= 2

So, Greatest Common Divisor of 136, 380, 38, 110 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 121, 39, 270
• GCD of 396, 869, 95, 652
• GCD of 289, 372, 63, 163
• GCD of 514, 470, 70, 215
• GCD of 537, 106, 32, 753

Given numbers are 136, 380, 38, 110
The greatest common divisor of numbers 136, 380, 38, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 380, 38, 110 is 2.

1. What is the GCD of 136, 380, 38, 110?

GCD of given numbers 136, 380, 38, 110 is 2

2. How to calculate the greatest common divisor of 136, 380, 38, 110?

We can find the highest common divisor of 136, 380, 38, 110 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 136, 380, 38, 110 i.e 2.

3. How can I use the GCD of 136, 380, 38, 110Calculator?

Out the numbers 136, 380, 38, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.