GCD of 720, 538, 733, 498 Calculator

Given Input numbers are 720, 538, 733, 498

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

GCD of numbers is the greatest common divisor

So, the GCD (720, 538, 733, 498) = 1.

Given numbers are 720, 538, 733, 498

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 538 are 2 x 269

Prime factors of 733 are 733

Prime factors of 498 are 2 x 3 x 83

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

Given numbers are 720, 538, 733, 498

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

Apply this formula for all numbers.

Step1:

LCM(720, 538) = 193680

GCD(720, 538) = ( 720 x 538 ) / 193680

= 720 / 538

= 720

Step2:

LCM(2, 733) = 1466

GCD(2, 733) = ( 2 x 733 ) / 1466

= 2 / 733

= 2

Step3:

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

= 1 / 498

= 1

So, Greatest Common Divisor of 720, 538, 733, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 852, 707, 118
• GCD of 980, 531, 911, 317
• GCD of 347, 189, 386, 222
• GCD of 751, 306, 650, 851
• GCD of 853, 252, 536, 770

Given numbers are 720, 538, 733, 498
The greatest common divisor of numbers 720, 538, 733, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 538, 733, 498 is 1.

1. What is the GCD of 720, 538, 733, 498?

GCD of given numbers 720, 538, 733, 498 is 1

2. How to calculate the greatest common divisor of 720, 538, 733, 498?

We can find the highest common divisor of 720, 538, 733, 498 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 720, 538, 733, 498 i.e 1.

3. How can I use the GCD of 720, 538, 733, 498Calculator?

Out the numbers 720, 538, 733, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.