GCD of 137, 103, 990, 218 Calculator

Given Input numbers are 137, 103, 990, 218

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

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (137, 103, 990, 218) = 1.

Given numbers are 137, 103, 990, 218

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 103 are 103

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 218 are 2 x 109

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

Given numbers are 137, 103, 990, 218

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

Apply this formula for all numbers.

Step1:

LCM(137, 103) = 14111

GCD(137, 103) = ( 137 x 103 ) / 14111

= 137 / 103

= 137

Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

Step3:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1

So, Greatest Common Divisor of 137, 103, 990, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 257, 338, 297
• GCD of 201, 441, 540, 434
• GCD of 574, 495, 622, 769
• GCD of 370, 599, 829, 495
• GCD of 516, 920, 238, 506

Given numbers are 137, 103, 990, 218
The greatest common divisor of numbers 137, 103, 990, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 103, 990, 218 is 1.

1. What is the GCD of 137, 103, 990, 218?

GCD of given numbers 137, 103, 990, 218 is 1

2. How to calculate the greatest common divisor of 137, 103, 990, 218?

We can find the highest common divisor of 137, 103, 990, 218 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 137, 103, 990, 218 i.e 1.

3. How can I use the GCD of 137, 103, 990, 218Calculator?

Out the numbers 137, 103, 990, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.