GCD of 801, 201, 720, 198 Calculator

Given Input numbers are 801, 201, 720, 198

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

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (801, 201, 720, 198) = 3.

Given numbers are 801, 201, 720, 198

The list of prime factors of all numbers are

Prime factors of 801 are 3 x 3 x 89

Prime factors of 201 are 3 x 67

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

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 801, 201, 720, 198 is 3.

Given numbers are 801, 201, 720, 198

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

Apply this formula for all numbers.

Step1:

LCM(801, 201) = 53667

GCD(801, 201) = ( 801 x 201 ) / 53667

= 801 / 201

= 801

Step2:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3

Step3:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

So, Greatest Common Divisor of 801, 201, 720, 198 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 943, 653, 589
• GCD of 823, 712, 551, 785
• GCD of 885, 565, 495, 691
• GCD of 654, 481, 172, 999
• GCD of 292, 488, 575, 114

Given numbers are 801, 201, 720, 198
The greatest common divisor of numbers 801, 201, 720, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 201, 720, 198 is 3.

1. What is the GCD of 801, 201, 720, 198?

GCD of given numbers 801, 201, 720, 198 is 3

2. How to calculate the greatest common divisor of 801, 201, 720, 198?

We can find the highest common divisor of 801, 201, 720, 198 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 801, 201, 720, 198 i.e 3.

3. How can I use the GCD of 801, 201, 720, 198Calculator?

Out the numbers 801, 201, 720, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.