GCD of 993, 351, 874, 704 Calculator

Given Input numbers are 993, 351, 874, 704

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

Divisors of 993 :

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

1, 3, 331, 993

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (993, 351, 874, 704) = 1.

Given numbers are 993, 351, 874, 704

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 874 are 2 x 19 x 23

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Given numbers are 993, 351, 874, 704

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

Apply this formula for all numbers.

Step1:

LCM(993, 351) = 116181

GCD(993, 351) = ( 993 x 351 ) / 116181

= 993 / 351

= 993

Step2:

LCM(3, 874) = 2622

GCD(3, 874) = ( 3 x 874 ) / 2622

= 3 / 874

= 3

Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

So, Greatest Common Divisor of 993, 351, 874, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 655, 481, 163
• GCD of 554, 151, 264, 470
• GCD of 421, 716, 501, 595
• GCD of 624, 401, 227, 873
• GCD of 550, 616, 859, 373

Given numbers are 993, 351, 874, 704
The greatest common divisor of numbers 993, 351, 874, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 351, 874, 704 is 1.

1. What is the GCD of 993, 351, 874, 704?

GCD of given numbers 993, 351, 874, 704 is 1

2. How to calculate the greatest common divisor of 993, 351, 874, 704?

We can find the highest common divisor of 993, 351, 874, 704 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 993, 351, 874, 704 i.e 1.

3. How can I use the GCD of 993, 351, 874, 704Calculator?

Out the numbers 993, 351, 874, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.