GCD of 708, 493, 152, 728 Calculator

Given Input numbers are 708, 493, 152, 728

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (708, 493, 152, 728) = 1.

Given numbers are 708, 493, 152, 728

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 493 are 17 x 29

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

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 708, 493, 152, 728

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

Apply this formula for all numbers.

Step1:

LCM(708, 493) = 349044

GCD(708, 493) = ( 708 x 493 ) / 349044

= 708 / 493

= 708

Step2:

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

= 1 / 152

= 1

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 708, 493, 152, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 721, 286, 827
• GCD of 329, 405, 753, 941
• GCD of 559, 276, 691, 506
• GCD of 840, 858, 797, 800
• GCD of 969, 270, 185, 249

Given numbers are 708, 493, 152, 728
The greatest common divisor of numbers 708, 493, 152, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 493, 152, 728 is 1.

1. What is the GCD of 708, 493, 152, 728?

GCD of given numbers 708, 493, 152, 728 is 1

2. How to calculate the greatest common divisor of 708, 493, 152, 728?

We can find the highest common divisor of 708, 493, 152, 728 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 708, 493, 152, 728 i.e 1.

3. How can I use the GCD of 708, 493, 152, 728Calculator?

Out the numbers 708, 493, 152, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.