GCD of 509, 820, 838, 261 Calculator

Given Input numbers are 509, 820, 838, 261

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (509, 820, 838, 261) = 1.

Given numbers are 509, 820, 838, 261

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 838 are 2 x 419

Prime factors of 261 are 3 x 3 x 29

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

Given numbers are 509, 820, 838, 261

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

Apply this formula for all numbers.

Step1:

LCM(509, 820) = 417380

GCD(509, 820) = ( 509 x 820 ) / 417380

= 509 / 820

= 509

Step2:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

Step3:

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

= 1 / 261

= 1

So, Greatest Common Divisor of 509, 820, 838, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 205, 501, 655
• GCD of 288, 866, 961, 158
• GCD of 353, 401, 494, 684
• GCD of 828, 573, 260, 917
• GCD of 804, 442, 199, 145

Given numbers are 509, 820, 838, 261
The greatest common divisor of numbers 509, 820, 838, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 820, 838, 261 is 1.

1. What is the GCD of 509, 820, 838, 261?

GCD of given numbers 509, 820, 838, 261 is 1

2. How to calculate the greatest common divisor of 509, 820, 838, 261?

We can find the highest common divisor of 509, 820, 838, 261 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, 820, 838, 261 i.e 1.

3. How can I use the GCD of 509, 820, 838, 261Calculator?

Out the numbers 509, 820, 838, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.