GCD of 728, 140, 502, 746 Calculator

Given Input numbers are 728, 140, 502, 746

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 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 746 :

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

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (728, 140, 502, 746) = 2.

Given numbers are 728, 140, 502, 746

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 140 are 2 x 2 x 5 x 7

Prime factors of 502 are 2 x 251

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 728, 140, 502, 746 is 2.

Given numbers are 728, 140, 502, 746

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

Apply this formula for all numbers.

Step1:

LCM(728, 140) = 3640

GCD(728, 140) = ( 728 x 140 ) / 3640

= 728 / 140

= 728

Step2:

LCM(28, 502) = 7028

GCD(28, 502) = ( 28 x 502 ) / 7028

= 28 / 502

= 28

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 728, 140, 502, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 144, 396, 901
• GCD of 482, 907, 428, 335
• GCD of 465, 553, 234, 668
• GCD of 780, 228, 606, 412
• GCD of 566, 200, 683, 422

Given numbers are 728, 140, 502, 746
The greatest common divisor of numbers 728, 140, 502, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 140, 502, 746 is 2.

1. What is the GCD of 728, 140, 502, 746?

GCD of given numbers 728, 140, 502, 746 is 2

2. How to calculate the greatest common divisor of 728, 140, 502, 746?

We can find the highest common divisor of 728, 140, 502, 746 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, 140, 502, 746 i.e 2.

3. How can I use the GCD of 728, 140, 502, 746Calculator?

Out the numbers 728, 140, 502, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.