GCD of 524, 493, 342, 138 Calculator

Given Input numbers are 524, 493, 342, 138

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (524, 493, 342, 138) = 1.

Given numbers are 524, 493, 342, 138

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

Prime factors of 493 are 17 x 29

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 524, 493, 342, 138

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

Apply this formula for all numbers.

Step1:

LCM(524, 493) = 258332

GCD(524, 493) = ( 524 x 493 ) / 258332

= 524 / 493

= 524

Step2:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 524, 493, 342, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 646, 215, 163
• GCD of 568, 827, 842, 193
• GCD of 396, 530, 878, 141
• GCD of 434, 557, 712, 610
• GCD of 288, 561, 774, 412

Given numbers are 524, 493, 342, 138
The greatest common divisor of numbers 524, 493, 342, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 493, 342, 138 is 1.

1. What is the GCD of 524, 493, 342, 138?

GCD of given numbers 524, 493, 342, 138 is 1

2. How to calculate the greatest common divisor of 524, 493, 342, 138?

We can find the highest common divisor of 524, 493, 342, 138 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 524, 493, 342, 138 i.e 1.

3. How can I use the GCD of 524, 493, 342, 138Calculator?

Out the numbers 524, 493, 342, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.