GCD of 509, 752, 189, 848 Calculator

Given Input numbers are 509, 752, 189, 848

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

GCD of numbers is the greatest common divisor

So, the GCD (509, 752, 189, 848) = 1.

Given numbers are 509, 752, 189, 848

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

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

Given numbers are 509, 752, 189, 848

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

Apply this formula for all numbers.

Step1:

LCM(509, 752) = 382768

GCD(509, 752) = ( 509 x 752 ) / 382768

= 509 / 752

= 509

Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

Step3:

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

= 1 / 848

= 1

So, Greatest Common Divisor of 509, 752, 189, 848 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 742, 281, 537
• GCD of 414, 951, 801, 583
• GCD of 999, 232, 813, 197
• GCD of 792, 325, 372, 112
• GCD of 194, 112, 359, 457

Given numbers are 509, 752, 189, 848
The greatest common divisor of numbers 509, 752, 189, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 752, 189, 848 is 1.

1. What is the GCD of 509, 752, 189, 848?

GCD of given numbers 509, 752, 189, 848 is 1

2. How to calculate the greatest common divisor of 509, 752, 189, 848?

We can find the highest common divisor of 509, 752, 189, 848 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, 752, 189, 848 i.e 1.

3. How can I use the GCD of 509, 752, 189, 848Calculator?

Out the numbers 509, 752, 189, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.