GCD of 728, 820, 385, 614 Calculator

Given Input numbers are 728, 820, 385, 614

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (728, 820, 385, 614) = 1.

Given numbers are 728, 820, 385, 614

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 820 are 2 x 2 x 5 x 41

Prime factors of 385 are 5 x 7 x 11

Prime factors of 614 are 2 x 307

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

Given numbers are 728, 820, 385, 614

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

Apply this formula for all numbers.

Step1:

LCM(728, 820) = 149240

GCD(728, 820) = ( 728 x 820 ) / 149240

= 728 / 820

= 728

Step2:

LCM(4, 385) = 1540

GCD(4, 385) = ( 4 x 385 ) / 1540

= 4 / 385

= 4

Step3:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1

So, Greatest Common Divisor of 728, 820, 385, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 999, 786, 512
• GCD of 632, 869, 249, 550
• GCD of 428, 795, 581, 955
• GCD of 874, 661, 459, 395
• GCD of 546, 193, 411, 719

Given numbers are 728, 820, 385, 614
The greatest common divisor of numbers 728, 820, 385, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 820, 385, 614 is 1.

1. What is the GCD of 728, 820, 385, 614?

GCD of given numbers 728, 820, 385, 614 is 1

2. How to calculate the greatest common divisor of 728, 820, 385, 614?

We can find the highest common divisor of 728, 820, 385, 614 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, 820, 385, 614 i.e 1.

3. How can I use the GCD of 728, 820, 385, 614Calculator?

Out the numbers 728, 820, 385, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.