GCD of 828, 688, 728, 993 Calculator

Given Input numbers are 828, 688, 728, 993

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 688 :

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

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

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (828, 688, 728, 993) = 1.

Given numbers are 828, 688, 728, 993

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

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

Prime factors of 993 are 3 x 331

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

Given numbers are 828, 688, 728, 993

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

Apply this formula for all numbers.

Step1:

LCM(828, 688) = 142416

GCD(828, 688) = ( 828 x 688 ) / 142416

= 828 / 688

= 828

Step2:

LCM(4, 728) = 728

GCD(4, 728) = ( 4 x 728 ) / 728

= 4 / 728

= 4

Step3:

LCM(4, 993) = 3972

GCD(4, 993) = ( 4 x 993 ) / 3972

= 4 / 993

= 4

So, Greatest Common Divisor of 828, 688, 728, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 766, 349, 795
• GCD of 630, 180, 188, 254
• GCD of 621, 333, 960, 187
• GCD of 392, 245, 724, 351
• GCD of 443, 981, 565, 745

Given numbers are 828, 688, 728, 993
The greatest common divisor of numbers 828, 688, 728, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 688, 728, 993 is 1.

1. What is the GCD of 828, 688, 728, 993?

GCD of given numbers 828, 688, 728, 993 is 1

2. How to calculate the greatest common divisor of 828, 688, 728, 993?

We can find the highest common divisor of 828, 688, 728, 993 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 828, 688, 728, 993 i.e 1.

3. How can I use the GCD of 828, 688, 728, 993Calculator?

Out the numbers 828, 688, 728, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.