GCD of 497, 609, 427, 240 Calculator

Given Input numbers are 497, 609, 427, 240

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

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 609 :

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

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

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

GCD of numbers is the greatest common divisor

So, the GCD (497, 609, 427, 240) = 1.

Given numbers are 497, 609, 427, 240

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 609 are 3 x 7 x 29

Prime factors of 427 are 7 x 61

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

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

Given numbers are 497, 609, 427, 240

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

Apply this formula for all numbers.

Step1:

LCM(497, 609) = 43239

GCD(497, 609) = ( 497 x 609 ) / 43239

= 497 / 609

= 497

Step2:

LCM(7, 427) = 427

GCD(7, 427) = ( 7 x 427 ) / 427

= 7 / 427

= 7

Step3:

LCM(7, 240) = 1680

GCD(7, 240) = ( 7 x 240 ) / 1680

= 7 / 240

= 7

So, Greatest Common Divisor of 497, 609, 427, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 354, 265, 206
• GCD of 677, 297, 778, 529
• GCD of 816, 158, 287, 963
• GCD of 512, 476, 548, 329
• GCD of 765, 380, 940, 205

Given numbers are 497, 609, 427, 240
The greatest common divisor of numbers 497, 609, 427, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 609, 427, 240 is 1.

1. What is the GCD of 497, 609, 427, 240?

GCD of given numbers 497, 609, 427, 240 is 1

2. How to calculate the greatest common divisor of 497, 609, 427, 240?

We can find the highest common divisor of 497, 609, 427, 240 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 497, 609, 427, 240 i.e 1.

3. How can I use the GCD of 497, 609, 427, 240Calculator?

Out the numbers 497, 609, 427, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.