GCD of 509, 748, 848, 216 Calculator

Given Input numbers are 509, 748, 848, 216

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 848 :

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

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (509, 748, 848, 216) = 1.

Given numbers are 509, 748, 848, 216

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 748 are 2 x 2 x 11 x 17

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

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 509, 748, 848, 216

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

Apply this formula for all numbers.

Step1:

LCM(509, 748) = 380732

GCD(509, 748) = ( 509 x 748 ) / 380732

= 509 / 748

= 509

Step2:

LCM(1, 848) = 848

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

= 1 / 848

= 1

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 509, 748, 848, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 275, 768, 437
• GCD of 771, 932, 688, 235
• GCD of 912, 159, 590, 375
• GCD of 749, 704, 875, 817
• GCD of 593, 982, 833, 553

Given numbers are 509, 748, 848, 216
The greatest common divisor of numbers 509, 748, 848, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 748, 848, 216 is 1.

1. What is the GCD of 509, 748, 848, 216?

GCD of given numbers 509, 748, 848, 216 is 1

2. How to calculate the greatest common divisor of 509, 748, 848, 216?

We can find the highest common divisor of 509, 748, 848, 216 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, 748, 848, 216 i.e 1.

3. How can I use the GCD of 509, 748, 848, 216Calculator?

Out the numbers 509, 748, 848, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.