GCD of 728, 770, 789, 350 Calculator

Given Input numbers are 728, 770, 789, 350

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

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 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (728, 770, 789, 350) = 1.

Given numbers are 728, 770, 789, 350

The list of prime factors of all numbers are

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

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 789 are 3 x 263

Prime factors of 350 are 2 x 5 x 5 x 7

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

Given numbers are 728, 770, 789, 350

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

Apply this formula for all numbers.

Step1:

LCM(728, 770) = 40040

GCD(728, 770) = ( 728 x 770 ) / 40040

= 728 / 770

= 728

Step2:

LCM(14, 789) = 11046

GCD(14, 789) = ( 14 x 789 ) / 11046

= 14 / 789

= 14

Step3:

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

= 1 / 350

= 1

So, Greatest Common Divisor of 728, 770, 789, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 409, 820, 325
• GCD of 254, 177, 372, 988
• GCD of 163, 308, 632, 982
• GCD of 879, 429, 224, 384
• GCD of 742, 253, 490, 751

Given numbers are 728, 770, 789, 350
The greatest common divisor of numbers 728, 770, 789, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 770, 789, 350 is 1.

1. What is the GCD of 728, 770, 789, 350?

GCD of given numbers 728, 770, 789, 350 is 1

2. How to calculate the greatest common divisor of 728, 770, 789, 350?

We can find the highest common divisor of 728, 770, 789, 350 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 728, 770, 789, 350 i.e 1.

3. How can I use the GCD of 728, 770, 789, 350Calculator?

Out the numbers 728, 770, 789, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.