GCD of 728, 980, 518 Calculator

Given Input numbers are 728, 980, 518

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 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (728, 980, 518) = 14.

Given numbers are 728, 980, 518

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 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 518 are 2 x 7 x 37

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 728, 980, 518 is 14.

Given numbers are 728, 980, 518

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

Apply this formula for all numbers.

Step1:

LCM(728, 980) = 25480

GCD(728, 980) = ( 728 x 980 ) / 25480

= 728 / 980

= 728

Step2:

LCM(28, 518) = 1036

GCD(28, 518) = ( 28 x 518 ) / 1036

= 28 / 518

= 28

So, Greatest Common Divisor of 728, 980, 518 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 454, 918
• GCD of 524, 180, 733
• GCD of 224, 651, 120
• GCD of 953, 151, 172
• GCD of 758, 698, 230

Given numbers are 728, 980, 518
The greatest common divisor of numbers 728, 980, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 980, 518 is 14.

1. What is the GCD of 728, 980, 518?

GCD of given numbers 728, 980, 518 is 14

2. How to calculate the greatest common divisor of 728, 980, 518?

We can find the highest common divisor of 728, 980, 518 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, 980, 518 i.e 14.

3. How can I use the GCD of 728, 980, 518Calculator?

Out the numbers 728, 980, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.