GCD of 249, 369, 426 Calculator

Given Input numbers are 249, 369, 426

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

Divisors of 249 :

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

1, 3, 83, 249

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (249, 369, 426) = 3.

Given numbers are 249, 369, 426

The list of prime factors of all numbers are

Prime factors of 249 are 3 x 83

Prime factors of 369 are 3 x 3 x 41

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 249, 369, 426 is 3.

Given numbers are 249, 369, 426

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

Apply this formula for all numbers.

Step1:

LCM(249, 369) = 30627

GCD(249, 369) = ( 249 x 369 ) / 30627

= 249 / 369

= 249

Step2:

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

= 3 / 426

= 3

So, Greatest Common Divisor of 249, 369, 426 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 807, 224
• GCD of 537, 532, 106
• GCD of 530, 606, 257
• GCD of 941, 211, 679
• GCD of 995, 531, 865

Given numbers are 249, 369, 426
The greatest common divisor of numbers 249, 369, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 369, 426 is 3.

1. What is the GCD of 249, 369, 426?

GCD of given numbers 249, 369, 426 is 3

2. How to calculate the greatest common divisor of 249, 369, 426?

We can find the highest common divisor of 249, 369, 426 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 249, 369, 426 i.e 3.

3. How can I use the GCD of 249, 369, 426Calculator?

Out the numbers 249, 369, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.