GCD of 156, 783, 231, 849 Calculator

Given Input numbers are 156, 783, 231, 849

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

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 783 :

The positive integer divisors of 783 that completely divides 783 are.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

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 (156, 783, 231, 849) = 3.

Given numbers are 156, 783, 231, 849

The list of prime factors of all numbers are

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 783 are 3 x 3 x 3 x 29

Prime factors of 231 are 3 x 7 x 11

Prime factors of 849 are 3 x 283

The highest common occurrence is 3¹

Therefore, GCD of 156, 783, 231, 849 is 3.

Given numbers are 156, 783, 231, 849

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

Apply this formula for all numbers.

Step1:

LCM(156, 783) = 40716

GCD(156, 783) = ( 156 x 783 ) / 40716

= 156 / 783

= 156

Step2:

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

= 3 / 231

= 3

Step3:

LCM(3, 849) = 849

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

= 3 / 849

= 3

So, Greatest Common Divisor of 156, 783, 231, 849 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 329, 331, 620
• GCD of 452, 825, 943, 103
• GCD of 552, 347, 223, 494
• GCD of 756, 626, 892, 168
• GCD of 535, 619, 572, 609

Given numbers are 156, 783, 231, 849
The greatest common divisor of numbers 156, 783, 231, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 783, 231, 849 is 3.

1. What is the GCD of 156, 783, 231, 849?

GCD of given numbers 156, 783, 231, 849 is 3

2. How to calculate the greatest common divisor of 156, 783, 231, 849?

We can find the highest common divisor of 156, 783, 231, 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 156, 783, 231, 849 i.e 3.

3. How can I use the GCD of 156, 783, 231, 849Calculator?

Out the numbers 156, 783, 231, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.