GCD of 138, 141, 190, 300 Calculator

Given Input numbers are 138, 141, 190, 300

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 190 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (138, 141, 190, 300) = 1.

Given numbers are 138, 141, 190, 300

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 141 are 3 x 47

Prime factors of 190 are 2 x 5 x 19

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 138, 141, 190, 300

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

Apply this formula for all numbers.

Step1:

LCM(138, 141) = 6486

GCD(138, 141) = ( 138 x 141 ) / 6486

= 138 / 141

= 138

Step2:

LCM(3, 190) = 570

GCD(3, 190) = ( 3 x 190 ) / 570

= 3 / 190

= 3

Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

So, Greatest Common Divisor of 138, 141, 190, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 745, 348, 294
• GCD of 876, 435, 554, 772
• GCD of 753, 996, 271, 361
• GCD of 825, 812, 256, 213
• GCD of 826, 330, 664, 943

Given numbers are 138, 141, 190, 300
The greatest common divisor of numbers 138, 141, 190, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 141, 190, 300 is 1.

1. What is the GCD of 138, 141, 190, 300?

GCD of given numbers 138, 141, 190, 300 is 1

2. How to calculate the greatest common divisor of 138, 141, 190, 300?

We can find the highest common divisor of 138, 141, 190, 300 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 138, 141, 190, 300 i.e 1.

3. How can I use the GCD of 138, 141, 190, 300Calculator?

Out the numbers 138, 141, 190, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.