GCD of 309, 249, 135, 278 Calculator

Given Input numbers are 309, 249, 135, 278

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 249 :

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

1, 3, 83, 249

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

GCD of numbers is the greatest common divisor

So, the GCD (309, 249, 135, 278) = 1.

Given numbers are 309, 249, 135, 278

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 249 are 3 x 83

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 278 are 2 x 139

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 309, 249, 135, 278

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

Apply this formula for all numbers.

Step1:

LCM(309, 249) = 25647

GCD(309, 249) = ( 309 x 249 ) / 25647

= 309 / 249

= 309

Step2:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3

Step3:

LCM(3, 278) = 834

GCD(3, 278) = ( 3 x 278 ) / 834

= 3 / 278

= 3

So, Greatest Common Divisor of 309, 249, 135, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 316, 479, 291
• GCD of 561, 822, 458, 213
• GCD of 290, 616, 378, 184
• GCD of 145, 185, 768, 594
• GCD of 456, 474, 940, 958

Given numbers are 309, 249, 135, 278
The greatest common divisor of numbers 309, 249, 135, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 249, 135, 278 is 1.

1. What is the GCD of 309, 249, 135, 278?

GCD of given numbers 309, 249, 135, 278 is 1

2. How to calculate the greatest common divisor of 309, 249, 135, 278?

We can find the highest common divisor of 309, 249, 135, 278 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 309, 249, 135, 278 i.e 1.

3. How can I use the GCD of 309, 249, 135, 278Calculator?

Out the numbers 309, 249, 135, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.