GCD of 801, 480, 189, 717 Calculator

Given Input numbers are 801, 480, 189, 717

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (801, 480, 189, 717) = 3.

Given numbers are 801, 480, 189, 717

The list of prime factors of all numbers are

Prime factors of 801 are 3 x 3 x 89

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 717 are 3 x 239

The highest common occurrence is 3¹

Therefore, GCD of 801, 480, 189, 717 is 3.

Given numbers are 801, 480, 189, 717

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

Apply this formula for all numbers.

Step1:

LCM(801, 480) = 128160

GCD(801, 480) = ( 801 x 480 ) / 128160

= 801 / 480

= 801

Step2:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3

Step3:

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

= 3 / 717

= 3

So, Greatest Common Divisor of 801, 480, 189, 717 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 969, 518, 531
• GCD of 836, 106, 769, 757
• GCD of 244, 220, 399, 601
• GCD of 726, 159, 681, 740
• GCD of 284, 954, 383, 478

Given numbers are 801, 480, 189, 717
The greatest common divisor of numbers 801, 480, 189, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 480, 189, 717 is 3.

1. What is the GCD of 801, 480, 189, 717?

GCD of given numbers 801, 480, 189, 717 is 3

2. How to calculate the greatest common divisor of 801, 480, 189, 717?

We can find the highest common divisor of 801, 480, 189, 717 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, 480, 189, 717 i.e 3.

3. How can I use the GCD of 801, 480, 189, 717Calculator?

Out the numbers 801, 480, 189, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.