GCD of 867, 732, 852, 339 Calculator

Given Input numbers are 867, 732, 852, 339

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

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

GCD of numbers is the greatest common divisor

So, the GCD (867, 732, 852, 339) = 3.

Given numbers are 867, 732, 852, 339

The list of prime factors of all numbers are

Prime factors of 867 are 3 x 17 x 17

Prime factors of 732 are 2 x 2 x 3 x 61

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

Prime factors of 339 are 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 867, 732, 852, 339 is 3.

Given numbers are 867, 732, 852, 339

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

Apply this formula for all numbers.

Step1:

LCM(867, 732) = 211548

GCD(867, 732) = ( 867 x 732 ) / 211548

= 867 / 732

= 867

Step2:

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

= 3 / 852

= 3

Step3:

LCM(3, 339) = 339

GCD(3, 339) = ( 3 x 339 ) / 339

= 3 / 339

= 3

So, Greatest Common Divisor of 867, 732, 852, 339 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 732, 548, 591
• GCD of 568, 791, 498, 690
• GCD of 998, 659, 735, 894
• GCD of 566, 962, 735, 360
• GCD of 829, 913, 275, 823

Given numbers are 867, 732, 852, 339
The greatest common divisor of numbers 867, 732, 852, 339 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 732, 852, 339 is 3.

1. What is the GCD of 867, 732, 852, 339?

GCD of given numbers 867, 732, 852, 339 is 3

2. How to calculate the greatest common divisor of 867, 732, 852, 339?

We can find the highest common divisor of 867, 732, 852, 339 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 867, 732, 852, 339 i.e 3.

3. How can I use the GCD of 867, 732, 852, 339Calculator?

Out the numbers 867, 732, 852, 339 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.