GCD of 493, 513, 71, 616 Calculator

Given Input numbers are 493, 513, 71, 616

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 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (493, 513, 71, 616) = 1.

Given numbers are 493, 513, 71, 616

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 71 are 71

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Given numbers are 493, 513, 71, 616

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

Apply this formula for all numbers.

Step1:

LCM(493, 513) = 252909

GCD(493, 513) = ( 493 x 513 ) / 252909

= 493 / 513

= 493

Step2:

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

= 1 / 71

= 1

Step3:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1

So, Greatest Common Divisor of 493, 513, 71, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 745, 73, 295
• GCD of 490, 427, 97, 983
• GCD of 555, 314, 27, 542
• GCD of 878, 610, 35, 716
• GCD of 167, 122, 94, 924

Given numbers are 493, 513, 71, 616
The greatest common divisor of numbers 493, 513, 71, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 513, 71, 616 is 1.

1. What is the GCD of 493, 513, 71, 616?

GCD of given numbers 493, 513, 71, 616 is 1

2. How to calculate the greatest common divisor of 493, 513, 71, 616?

We can find the highest common divisor of 493, 513, 71, 616 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, 513, 71, 616 i.e 1.

3. How can I use the GCD of 493, 513, 71, 616Calculator?

Out the numbers 493, 513, 71, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.