GCD of 509, 642, 270, 307 Calculator

Given Input numbers are 509, 642, 270, 307

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

Divisors of 509 :

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

1, 509

Divisors of 642 :

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

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

GCD of numbers is the greatest common divisor

So, the GCD (509, 642, 270, 307) = 1.

Given numbers are 509, 642, 270, 307

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 642 are 2 x 3 x 107

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 307 are 307

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

Given numbers are 509, 642, 270, 307

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

Apply this formula for all numbers.

Step1:

LCM(509, 642) = 326778

GCD(509, 642) = ( 509 x 642 ) / 326778

= 509 / 642

= 509

Step2:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

Step3:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1

So, Greatest Common Divisor of 509, 642, 270, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 995, 209, 391
• GCD of 996, 279, 939, 563
• GCD of 919, 318, 254, 385
• GCD of 374, 609, 372, 812
• GCD of 500, 398, 423, 663

Given numbers are 509, 642, 270, 307
The greatest common divisor of numbers 509, 642, 270, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 642, 270, 307 is 1.

1. What is the GCD of 509, 642, 270, 307?

GCD of given numbers 509, 642, 270, 307 is 1

2. How to calculate the greatest common divisor of 509, 642, 270, 307?

We can find the highest common divisor of 509, 642, 270, 307 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 509, 642, 270, 307 i.e 1.

3. How can I use the GCD of 509, 642, 270, 307Calculator?

Out the numbers 509, 642, 270, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.