GCD of 720, 984, 566, 898 Calculator

Given Input numbers are 720, 984, 566, 898

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 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (720, 984, 566, 898) = 2.

Given numbers are 720, 984, 566, 898

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 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 566 are 2 x 283

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 720, 984, 566, 898 is 2.

Given numbers are 720, 984, 566, 898

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

Apply this formula for all numbers.

Step1:

LCM(720, 984) = 29520

GCD(720, 984) = ( 720 x 984 ) / 29520

= 720 / 984

= 720

Step2:

LCM(24, 566) = 6792

GCD(24, 566) = ( 24 x 566 ) / 6792

= 24 / 566

= 24

Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

So, Greatest Common Divisor of 720, 984, 566, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 621, 762, 332
• GCD of 350, 269, 891, 365
• GCD of 646, 267, 331, 517
• GCD of 569, 548, 730, 306
• GCD of 956, 196, 528, 814

Given numbers are 720, 984, 566, 898
The greatest common divisor of numbers 720, 984, 566, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 984, 566, 898 is 2.

1. What is the GCD of 720, 984, 566, 898?

GCD of given numbers 720, 984, 566, 898 is 2

2. How to calculate the greatest common divisor of 720, 984, 566, 898?

We can find the highest common divisor of 720, 984, 566, 898 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, 984, 566, 898 i.e 2.

3. How can I use the GCD of 720, 984, 566, 898Calculator?

Out the numbers 720, 984, 566, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.