GCD of 789, 728, 857, 349 Calculator

Given Input numbers are 789, 728, 857, 349

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

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 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (789, 728, 857, 349) = 1.

Given numbers are 789, 728, 857, 349

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

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

Prime factors of 857 are 857

Prime factors of 349 are 349

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

Given numbers are 789, 728, 857, 349

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

Apply this formula for all numbers.

Step1:

LCM(789, 728) = 574392

GCD(789, 728) = ( 789 x 728 ) / 574392

= 789 / 728

= 789

Step2:

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

= 1 / 857

= 1

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 789, 728, 857, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 409, 589, 494
• GCD of 461, 941, 614, 155
• GCD of 702, 801, 410, 841
• GCD of 236, 546, 181, 483
• GCD of 377, 552, 491, 614

Given numbers are 789, 728, 857, 349
The greatest common divisor of numbers 789, 728, 857, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 728, 857, 349 is 1.

1. What is the GCD of 789, 728, 857, 349?

GCD of given numbers 789, 728, 857, 349 is 1

2. How to calculate the greatest common divisor of 789, 728, 857, 349?

We can find the highest common divisor of 789, 728, 857, 349 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 789, 728, 857, 349 i.e 1.

3. How can I use the GCD of 789, 728, 857, 349Calculator?

Out the numbers 789, 728, 857, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.