GCD of 852, 717, 138 Calculator

Given Input numbers are 852, 717, 138

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 717 :

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

1, 3, 239, 717

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (852, 717, 138) = 3.

Given numbers are 852, 717, 138

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 717 are 3 x 239

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 852, 717, 138 is 3.

Given numbers are 852, 717, 138

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

Apply this formula for all numbers.

Step1:

LCM(852, 717) = 203628

GCD(852, 717) = ( 852 x 717 ) / 203628

= 852 / 717

= 852

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

So, Greatest Common Divisor of 852, 717, 138 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 239, 395
• GCD of 576, 757, 407
• GCD of 207, 882, 898
• GCD of 879, 123, 821
• GCD of 284, 747, 541

Given numbers are 852, 717, 138
The greatest common divisor of numbers 852, 717, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 717, 138 is 3.

1. What is the GCD of 852, 717, 138?

GCD of given numbers 852, 717, 138 is 3

2. How to calculate the greatest common divisor of 852, 717, 138?

We can find the highest common divisor of 852, 717, 138 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 852, 717, 138 i.e 3.

3. How can I use the GCD of 852, 717, 138Calculator?

Out the numbers 852, 717, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.