GCD of 138, 576, 501, 688 Calculator

Given Input numbers are 138, 576, 501, 688

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (138, 576, 501, 688) = 1.

Given numbers are 138, 576, 501, 688

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 501 are 3 x 167

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Given numbers are 138, 576, 501, 688

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

Apply this formula for all numbers.

Step1:

LCM(138, 576) = 13248

GCD(138, 576) = ( 138 x 576 ) / 13248

= 138 / 576

= 138

Step2:

LCM(6, 501) = 1002

GCD(6, 501) = ( 6 x 501 ) / 1002

= 6 / 501

= 6

Step3:

LCM(3, 688) = 2064

GCD(3, 688) = ( 3 x 688 ) / 2064

= 3 / 688

= 3

So, Greatest Common Divisor of 138, 576, 501, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 732, 373, 725
• GCD of 187, 131, 657, 935
• GCD of 650, 728, 254, 184
• GCD of 605, 697, 825, 473
• GCD of 923, 856, 187, 305

Given numbers are 138, 576, 501, 688
The greatest common divisor of numbers 138, 576, 501, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 576, 501, 688 is 1.

1. What is the GCD of 138, 576, 501, 688?

GCD of given numbers 138, 576, 501, 688 is 1

2. How to calculate the greatest common divisor of 138, 576, 501, 688?

We can find the highest common divisor of 138, 576, 501, 688 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, 576, 501, 688 i.e 1.

3. How can I use the GCD of 138, 576, 501, 688Calculator?

Out the numbers 138, 576, 501, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.