GCD of 807, 135, 798, 717 Calculator

Given Input numbers are 807, 135, 798, 717

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

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 (807, 135, 798, 717) = 3.

Given numbers are 807, 135, 798, 717

The list of prime factors of all numbers are

Prime factors of 807 are 3 x 269

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 717 are 3 x 239

The highest common occurrence is 3¹

Therefore, GCD of 807, 135, 798, 717 is 3.

Given numbers are 807, 135, 798, 717

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

Apply this formula for all numbers.

Step1:

LCM(807, 135) = 36315

GCD(807, 135) = ( 807 x 135 ) / 36315

= 807 / 135

= 807

Step2:

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

= 3 / 798

= 3

Step3:

LCM(3, 717) = 717

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

= 3 / 717

= 3

So, Greatest Common Divisor of 807, 135, 798, 717 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 512, 661, 452
• GCD of 343, 306, 177, 451
• GCD of 437, 635, 930, 870
• GCD of 882, 993, 740, 497
• GCD of 119, 796, 489, 213

Given numbers are 807, 135, 798, 717
The greatest common divisor of numbers 807, 135, 798, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 807, 135, 798, 717 is 3.

1. What is the GCD of 807, 135, 798, 717?

GCD of given numbers 807, 135, 798, 717 is 3

2. How to calculate the greatest common divisor of 807, 135, 798, 717?

We can find the highest common divisor of 807, 135, 798, 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 807, 135, 798, 717 i.e 3.

3. How can I use the GCD of 807, 135, 798, 717Calculator?

Out the numbers 807, 135, 798, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.