GCD of 137, 218, 489, 345 Calculator

Given Input numbers are 137, 218, 489, 345

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 218 :

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

1, 2, 109, 218

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (137, 218, 489, 345) = 1.

Given numbers are 137, 218, 489, 345

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 218 are 2 x 109

Prime factors of 489 are 3 x 163

Prime factors of 345 are 3 x 5 x 23

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

Given numbers are 137, 218, 489, 345

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

Apply this formula for all numbers.

Step1:

LCM(137, 218) = 29866

GCD(137, 218) = ( 137 x 218 ) / 29866

= 137 / 218

= 137

Step2:

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

= 1 / 489

= 1

Step3:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

So, Greatest Common Divisor of 137, 218, 489, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 524, 400, 779
• GCD of 192, 991, 665, 471
• GCD of 277, 597, 164, 372
• GCD of 228, 214, 530, 235
• GCD of 681, 135, 813, 591

Given numbers are 137, 218, 489, 345
The greatest common divisor of numbers 137, 218, 489, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 218, 489, 345 is 1.

1. What is the GCD of 137, 218, 489, 345?

GCD of given numbers 137, 218, 489, 345 is 1

2. How to calculate the greatest common divisor of 137, 218, 489, 345?

We can find the highest common divisor of 137, 218, 489, 345 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, 218, 489, 345 i.e 1.

3. How can I use the GCD of 137, 218, 489, 345Calculator?

Out the numbers 137, 218, 489, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.