GCD of 493, 152, 138, 520 Calculator

Given Input numbers are 493, 152, 138, 520

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

Divisors of 493 :

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

1, 17, 29, 493

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 138 :

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

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

GCD of numbers is the greatest common divisor

So, the GCD (493, 152, 138, 520) = 1.

Given numbers are 493, 152, 138, 520

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 138 are 2 x 3 x 23

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

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

Given numbers are 493, 152, 138, 520

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

Apply this formula for all numbers.

Step1:

LCM(493, 152) = 74936

GCD(493, 152) = ( 493 x 152 ) / 74936

= 493 / 152

= 493

Step2:

LCM(1, 138) = 138

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

= 1 / 138

= 1

Step3:

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

= 1 / 520

= 1

So, Greatest Common Divisor of 493, 152, 138, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 354, 693, 633
• GCD of 941, 870, 111, 636
• GCD of 255, 466, 380, 941
• GCD of 560, 437, 695, 702
• GCD of 450, 290, 940, 107

Given numbers are 493, 152, 138, 520
The greatest common divisor of numbers 493, 152, 138, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 152, 138, 520 is 1.

1. What is the GCD of 493, 152, 138, 520?

GCD of given numbers 493, 152, 138, 520 is 1

2. How to calculate the greatest common divisor of 493, 152, 138, 520?

We can find the highest common divisor of 493, 152, 138, 520 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 493, 152, 138, 520 i.e 1.

3. How can I use the GCD of 493, 152, 138, 520Calculator?

Out the numbers 493, 152, 138, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.