GCD of 693, 144, 309, 834 Calculator

Given Input numbers are 693, 144, 309, 834

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

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

GCD of numbers is the greatest common divisor

So, the GCD (693, 144, 309, 834) = 3.

Given numbers are 693, 144, 309, 834

The list of prime factors of all numbers are

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 309 are 3 x 103

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 3¹

Therefore, GCD of 693, 144, 309, 834 is 3.

Given numbers are 693, 144, 309, 834

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

Apply this formula for all numbers.

Step1:

LCM(693, 144) = 11088

GCD(693, 144) = ( 693 x 144 ) / 11088

= 693 / 144

= 693

Step2:

LCM(9, 309) = 927

GCD(9, 309) = ( 9 x 309 ) / 927

= 9 / 309

= 9

Step3:

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

= 3 / 834

= 3

So, Greatest Common Divisor of 693, 144, 309, 834 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 157, 770, 193
• GCD of 155, 815, 334, 607
• GCD of 693, 439, 287, 595
• GCD of 280, 838, 179, 652
• GCD of 456, 269, 916, 456

Given numbers are 693, 144, 309, 834
The greatest common divisor of numbers 693, 144, 309, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 144, 309, 834 is 3.

1. What is the GCD of 693, 144, 309, 834?

GCD of given numbers 693, 144, 309, 834 is 3

2. How to calculate the greatest common divisor of 693, 144, 309, 834?

We can find the highest common divisor of 693, 144, 309, 834 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 693, 144, 309, 834 i.e 3.

3. How can I use the GCD of 693, 144, 309, 834Calculator?

Out the numbers 693, 144, 309, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.