GCD of 645, 240, 268, 309 Calculator

Given Input numbers are 645, 240, 268, 309

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

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 309 :

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

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (645, 240, 268, 309) = 1.

Given numbers are 645, 240, 268, 309

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 268 are 2 x 2 x 67

Prime factors of 309 are 3 x 103

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

Given numbers are 645, 240, 268, 309

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

Apply this formula for all numbers.

Step1:

LCM(645, 240) = 10320

GCD(645, 240) = ( 645 x 240 ) / 10320

= 645 / 240

= 645

Step2:

LCM(15, 268) = 4020

GCD(15, 268) = ( 15 x 268 ) / 4020

= 15 / 268

= 15

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 645, 240, 268, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 847, 228, 877
• GCD of 170, 672, 105, 200
• GCD of 576, 990, 691, 114
• GCD of 920, 322, 806, 607
• GCD of 558, 537, 441, 489

Given numbers are 645, 240, 268, 309
The greatest common divisor of numbers 645, 240, 268, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 240, 268, 309 is 1.

1. What is the GCD of 645, 240, 268, 309?

GCD of given numbers 645, 240, 268, 309 is 1

2. How to calculate the greatest common divisor of 645, 240, 268, 309?

We can find the highest common divisor of 645, 240, 268, 309 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 645, 240, 268, 309 i.e 1.

3. How can I use the GCD of 645, 240, 268, 309Calculator?

Out the numbers 645, 240, 268, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.