GCD of 369, 834, 414, 249 Calculator

Given Input numbers are 369, 834, 414, 249

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 834 :

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

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (369, 834, 414, 249) = 3.

Given numbers are 369, 834, 414, 249

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 834 are 2 x 3 x 139

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 249 are 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 369, 834, 414, 249 is 3.

Given numbers are 369, 834, 414, 249

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

Apply this formula for all numbers.

Step1:

LCM(369, 834) = 102582

GCD(369, 834) = ( 369 x 834 ) / 102582

= 369 / 834

= 369

Step2:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

Step3:

LCM(3, 249) = 249

GCD(3, 249) = ( 3 x 249 ) / 249

= 3 / 249

= 3

So, Greatest Common Divisor of 369, 834, 414, 249 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 741, 777, 243
• GCD of 502, 976, 911, 422
• GCD of 329, 371, 253, 318
• GCD of 851, 787, 120, 151
• GCD of 188, 379, 241, 311

Given numbers are 369, 834, 414, 249
The greatest common divisor of numbers 369, 834, 414, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 834, 414, 249 is 3.

1. What is the GCD of 369, 834, 414, 249?

GCD of given numbers 369, 834, 414, 249 is 3

2. How to calculate the greatest common divisor of 369, 834, 414, 249?

We can find the highest common divisor of 369, 834, 414, 249 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 369, 834, 414, 249 i.e 3.

3. How can I use the GCD of 369, 834, 414, 249Calculator?

Out the numbers 369, 834, 414, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.