GCD of 852, 882, 39, 759 Calculator

Given Input numbers are 852, 882, 39, 759

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 39 :

The positive integer divisors of 39 that completely divides 39 are.

1, 3, 13, 39

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (852, 882, 39, 759) = 3.

Given numbers are 852, 882, 39, 759

The list of prime factors of all numbers are

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

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 39 are 3 x 13

Prime factors of 759 are 3 x 11 x 23

The highest common occurrence is 3¹

Therefore, GCD of 852, 882, 39, 759 is 3.

Given numbers are 852, 882, 39, 759

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

Apply this formula for all numbers.

Step1:

LCM(852, 882) = 125244

GCD(852, 882) = ( 852 x 882 ) / 125244

= 852 / 882

= 852

Step2:

LCM(6, 39) = 78

GCD(6, 39) = ( 6 x 39 ) / 78

= 6 / 39

= 6

Step3:

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

= 3 / 759

= 3

So, Greatest Common Divisor of 852, 882, 39, 759 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 953, 72, 381
• GCD of 485, 958, 36, 626
• GCD of 808, 294, 11, 473
• GCD of 231, 268, 71, 336
• GCD of 617, 366, 50, 400

Given numbers are 852, 882, 39, 759
The greatest common divisor of numbers 852, 882, 39, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 882, 39, 759 is 3.

1. What is the GCD of 852, 882, 39, 759?

GCD of given numbers 852, 882, 39, 759 is 3

2. How to calculate the greatest common divisor of 852, 882, 39, 759?

We can find the highest common divisor of 852, 882, 39, 759 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, 882, 39, 759 i.e 3.

3. How can I use the GCD of 852, 882, 39, 759Calculator?

Out the numbers 852, 882, 39, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.