GCD of 339, 168, 693, 849 Calculator

Given Input numbers are 339, 168, 693, 849

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

Divisors of 339 :

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

1, 3, 113, 339

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (339, 168, 693, 849) = 3.

Given numbers are 339, 168, 693, 849

The list of prime factors of all numbers are

Prime factors of 339 are 3 x 113

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 849 are 3 x 283

The highest common occurrence is 3¹

Therefore, GCD of 339, 168, 693, 849 is 3.

Given numbers are 339, 168, 693, 849

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

Apply this formula for all numbers.

Step1:

LCM(339, 168) = 18984

GCD(339, 168) = ( 339 x 168 ) / 18984

= 339 / 168

= 339

Step2:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3

Step3:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

So, Greatest Common Divisor of 339, 168, 693, 849 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 326, 305, 660
• GCD of 580, 881, 476, 948
• GCD of 957, 672, 368, 298
• GCD of 977, 708, 886, 134
• GCD of 810, 921, 194, 135

Given numbers are 339, 168, 693, 849
The greatest common divisor of numbers 339, 168, 693, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 168, 693, 849 is 3.

1. What is the GCD of 339, 168, 693, 849?

GCD of given numbers 339, 168, 693, 849 is 3

2. How to calculate the greatest common divisor of 339, 168, 693, 849?

We can find the highest common divisor of 339, 168, 693, 849 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 339, 168, 693, 849 i.e 3.

3. How can I use the GCD of 339, 168, 693, 849Calculator?

Out the numbers 339, 168, 693, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.