GCD of 609, 309, 136, 748 Calculator

Given Input numbers are 609, 309, 136, 748

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (609, 309, 136, 748) = 1.

Given numbers are 609, 309, 136, 748

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 309 are 3 x 103

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 609, 309, 136, 748

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

Apply this formula for all numbers.

Step1:

LCM(609, 309) = 62727

GCD(609, 309) = ( 609 x 309 ) / 62727

= 609 / 309

= 609

Step2:

LCM(3, 136) = 408

GCD(3, 136) = ( 3 x 136 ) / 408

= 3 / 136

= 3

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 609, 309, 136, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 350, 615, 943
• GCD of 127, 632, 743, 276
• GCD of 975, 644, 718, 240
• GCD of 799, 196, 330, 654
• GCD of 394, 400, 838, 729

Given numbers are 609, 309, 136, 748
The greatest common divisor of numbers 609, 309, 136, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 309, 136, 748 is 1.

1. What is the GCD of 609, 309, 136, 748?

GCD of given numbers 609, 309, 136, 748 is 1

2. How to calculate the greatest common divisor of 609, 309, 136, 748?

We can find the highest common divisor of 609, 309, 136, 748 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 609, 309, 136, 748 i.e 1.

3. How can I use the GCD of 609, 309, 136, 748Calculator?

Out the numbers 609, 309, 136, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.