GCD of 509, 980, 251, 512 Calculator

Given Input numbers are 509, 980, 251, 512

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 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 251 :

The positive integer divisors of 251 that completely divides 251 are.

1, 251

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

GCD of numbers is the greatest common divisor

So, the GCD (509, 980, 251, 512) = 1.

Given numbers are 509, 980, 251, 512

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 251 are 251

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Given numbers are 509, 980, 251, 512

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

Apply this formula for all numbers.

Step1:

LCM(509, 980) = 498820

GCD(509, 980) = ( 509 x 980 ) / 498820

= 509 / 980

= 509

Step2:

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

= 1 / 251

= 1

Step3:

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

= 1 / 512

= 1

So, Greatest Common Divisor of 509, 980, 251, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 784, 990, 754
• GCD of 207, 920, 418, 642
• GCD of 584, 247, 513, 992
• GCD of 558, 286, 926, 186
• GCD of 214, 500, 955, 664

Given numbers are 509, 980, 251, 512
The greatest common divisor of numbers 509, 980, 251, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 980, 251, 512 is 1.

1. What is the GCD of 509, 980, 251, 512?

GCD of given numbers 509, 980, 251, 512 is 1

2. How to calculate the greatest common divisor of 509, 980, 251, 512?

We can find the highest common divisor of 509, 980, 251, 512 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, 980, 251, 512 i.e 1.

3. How can I use the GCD of 509, 980, 251, 512Calculator?

Out the numbers 509, 980, 251, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.