GCD of 728, 350, 746, 322 Calculator

Given Input numbers are 728, 350, 746, 322

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 350 :

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

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

GCD of numbers is the greatest common divisor

So, the GCD (728, 350, 746, 322) = 2.

Given numbers are 728, 350, 746, 322

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 350 are 2 x 5 x 5 x 7

Prime factors of 746 are 2 x 373

Prime factors of 322 are 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 728, 350, 746, 322 is 2.

Given numbers are 728, 350, 746, 322

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

Apply this formula for all numbers.

Step1:

LCM(728, 350) = 18200

GCD(728, 350) = ( 728 x 350 ) / 18200

= 728 / 350

= 728

Step2:

LCM(14, 746) = 5222

GCD(14, 746) = ( 14 x 746 ) / 5222

= 14 / 746

= 14

Step3:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

So, Greatest Common Divisor of 728, 350, 746, 322 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 454, 459, 517
• GCD of 998, 682, 607, 692
• GCD of 462, 451, 923, 897
• GCD of 911, 808, 633, 884
• GCD of 404, 428, 246, 554

Given numbers are 728, 350, 746, 322
The greatest common divisor of numbers 728, 350, 746, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 350, 746, 322 is 2.

1. What is the GCD of 728, 350, 746, 322?

GCD of given numbers 728, 350, 746, 322 is 2

2. How to calculate the greatest common divisor of 728, 350, 746, 322?

We can find the highest common divisor of 728, 350, 746, 322 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, 350, 746, 322 i.e 2.

3. How can I use the GCD of 728, 350, 746, 322Calculator?

Out the numbers 728, 350, 746, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.