GCD of 509, 268, 14, 913 Calculator

Given Input numbers are 509, 268, 14, 913

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 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

GCD of numbers is the greatest common divisor

So, the GCD (509, 268, 14, 913) = 1.

Given numbers are 509, 268, 14, 913

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 268 are 2 x 2 x 67

Prime factors of 14 are 2 x 7

Prime factors of 913 are 11 x 83

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

Given numbers are 509, 268, 14, 913

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

Apply this formula for all numbers.

Step1:

LCM(509, 268) = 136412

GCD(509, 268) = ( 509 x 268 ) / 136412

= 509 / 268

= 509

Step2:

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

= 1 / 14

= 1

Step3:

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

= 1 / 913

= 1

So, Greatest Common Divisor of 509, 268, 14, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 285, 28, 172
• GCD of 461, 864, 44, 422
• GCD of 975, 565, 74, 318
• GCD of 138, 721, 42, 269
• GCD of 208, 882, 45, 550

Given numbers are 509, 268, 14, 913
The greatest common divisor of numbers 509, 268, 14, 913 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 268, 14, 913 is 1.

1. What is the GCD of 509, 268, 14, 913?

GCD of given numbers 509, 268, 14, 913 is 1

2. How to calculate the greatest common divisor of 509, 268, 14, 913?

We can find the highest common divisor of 509, 268, 14, 913 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, 268, 14, 913 i.e 1.

3. How can I use the GCD of 509, 268, 14, 913Calculator?

Out the numbers 509, 268, 14, 913 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.