GCD of 459, 138, 123, 245 Calculator

Given Input numbers are 459, 138, 123, 245

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

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 138 :

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

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

GCD of numbers is the greatest common divisor

So, the GCD (459, 138, 123, 245) = 1.

Given numbers are 459, 138, 123, 245

The list of prime factors of all numbers are

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 138 are 2 x 3 x 23

Prime factors of 123 are 3 x 41

Prime factors of 245 are 5 x 7 x 7

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

Given numbers are 459, 138, 123, 245

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

Apply this formula for all numbers.

Step1:

LCM(459, 138) = 21114

GCD(459, 138) = ( 459 x 138 ) / 21114

= 459 / 138

= 459

Step2:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3

Step3:

LCM(3, 245) = 735

GCD(3, 245) = ( 3 x 245 ) / 735

= 3 / 245

= 3

So, Greatest Common Divisor of 459, 138, 123, 245 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 735, 778, 756
• GCD of 313, 984, 208, 442
• GCD of 820, 251, 523, 857
• GCD of 978, 508, 941, 320
• GCD of 102, 572, 969, 127

Given numbers are 459, 138, 123, 245
The greatest common divisor of numbers 459, 138, 123, 245 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 138, 123, 245 is 1.

1. What is the GCD of 459, 138, 123, 245?

GCD of given numbers 459, 138, 123, 245 is 1

2. How to calculate the greatest common divisor of 459, 138, 123, 245?

We can find the highest common divisor of 459, 138, 123, 245 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 459, 138, 123, 245 i.e 1.

3. How can I use the GCD of 459, 138, 123, 245Calculator?

Out the numbers 459, 138, 123, 245 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.