GCD of 138, 177, 503, 864 Calculator

Given Input numbers are 138, 177, 503, 864

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 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 503 :

The positive integer divisors of 503 that completely divides 503 are.

1, 503

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (138, 177, 503, 864) = 1.

Given numbers are 138, 177, 503, 864

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 177 are 3 x 59

Prime factors of 503 are 503

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 138, 177, 503, 864

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

Apply this formula for all numbers.

Step1:

LCM(138, 177) = 8142

GCD(138, 177) = ( 138 x 177 ) / 8142

= 138 / 177

= 138

Step2:

LCM(3, 503) = 1509

GCD(3, 503) = ( 3 x 503 ) / 1509

= 3 / 503

= 3

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 138, 177, 503, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 986, 834, 686
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Given numbers are 138, 177, 503, 864
The greatest common divisor of numbers 138, 177, 503, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 177, 503, 864 is 1.

1. What is the GCD of 138, 177, 503, 864?

GCD of given numbers 138, 177, 503, 864 is 1

2. How to calculate the greatest common divisor of 138, 177, 503, 864?

We can find the highest common divisor of 138, 177, 503, 864 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, 177, 503, 864 i.e 1.

3. How can I use the GCD of 138, 177, 503, 864Calculator?

Out the numbers 138, 177, 503, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.