GCD of 138, 663, 560, 231 Calculator

Given Input numbers are 138, 663, 560, 231

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 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (138, 663, 560, 231) = 1.

Given numbers are 138, 663, 560, 231

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 663 are 3 x 13 x 17

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 138, 663, 560, 231

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

Apply this formula for all numbers.

Step1:

LCM(138, 663) = 30498

GCD(138, 663) = ( 138 x 663 ) / 30498

= 138 / 663

= 138

Step2:

LCM(3, 560) = 1680

GCD(3, 560) = ( 3 x 560 ) / 1680

= 3 / 560

= 3

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 138, 663, 560, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 785, 776, 927
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Given numbers are 138, 663, 560, 231
The greatest common divisor of numbers 138, 663, 560, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 663, 560, 231 is 1.

1. What is the GCD of 138, 663, 560, 231?

GCD of given numbers 138, 663, 560, 231 is 1

2. How to calculate the greatest common divisor of 138, 663, 560, 231?

We can find the highest common divisor of 138, 663, 560, 231 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, 663, 560, 231 i.e 1.

3. How can I use the GCD of 138, 663, 560, 231Calculator?

Out the numbers 138, 663, 560, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.