GCD of 720, 162, 993, 657 Calculator

Given Input numbers are 720, 162, 993, 657

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 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

GCD of numbers is the greatest common divisor

So, the GCD (720, 162, 993, 657) = 3.

Given numbers are 720, 162, 993, 657

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 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 993 are 3 x 331

Prime factors of 657 are 3 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 720, 162, 993, 657 is 3.

Given numbers are 720, 162, 993, 657

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

Apply this formula for all numbers.

Step1:

LCM(720, 162) = 6480

GCD(720, 162) = ( 720 x 162 ) / 6480

= 720 / 162

= 720

Step2:

LCM(18, 993) = 5958

GCD(18, 993) = ( 18 x 993 ) / 5958

= 18 / 993

= 18

Step3:

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

= 3 / 657

= 3

So, Greatest Common Divisor of 720, 162, 993, 657 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 588, 382, 823
• GCD of 985, 643, 365, 514
• GCD of 569, 520, 597, 249
• GCD of 403, 286, 553, 168
• GCD of 180, 200, 904, 628

Given numbers are 720, 162, 993, 657
The greatest common divisor of numbers 720, 162, 993, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 162, 993, 657 is 3.

1. What is the GCD of 720, 162, 993, 657?

GCD of given numbers 720, 162, 993, 657 is 3

2. How to calculate the greatest common divisor of 720, 162, 993, 657?

We can find the highest common divisor of 720, 162, 993, 657 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, 162, 993, 657 i.e 3.

3. How can I use the GCD of 720, 162, 993, 657Calculator?

Out the numbers 720, 162, 993, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.