GCD of 642, 336, 509, 240 Calculator

Given Input numbers are 642, 336, 509, 240

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

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 (642, 336, 509, 240) = 1.

Given numbers are 642, 336, 509, 240

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 509 are 509

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 642, 336, 509, 240

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

Apply this formula for all numbers.

Step1:

LCM(642, 336) = 35952

GCD(642, 336) = ( 642 x 336 ) / 35952

= 642 / 336

= 642

Step2:

LCM(6, 509) = 3054

GCD(6, 509) = ( 6 x 509 ) / 3054

= 6 / 509

= 6

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 642, 336, 509, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 132, 384, 271
• GCD of 787, 140, 451, 624
• GCD of 192, 968, 333, 828
• GCD of 294, 998, 919, 170
• GCD of 548, 312, 780, 907

Given numbers are 642, 336, 509, 240
The greatest common divisor of numbers 642, 336, 509, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 336, 509, 240 is 1.

1. What is the GCD of 642, 336, 509, 240?

GCD of given numbers 642, 336, 509, 240 is 1

2. How to calculate the greatest common divisor of 642, 336, 509, 240?

We can find the highest common divisor of 642, 336, 509, 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 642, 336, 509, 240 i.e 1.

3. How can I use the GCD of 642, 336, 509, 240Calculator?

Out the numbers 642, 336, 509, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.