GCD of 753, 513, 165, 819 Calculator

Given Input numbers are 753, 513, 165, 819

In the factoring method, we have to find the divisors of all numbers

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

GCD of numbers is the greatest common divisor

So, the GCD (753, 513, 165, 819) = 3.

Given numbers are 753, 513, 165, 819

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 165 are 3 x 5 x 11

Prime factors of 819 are 3 x 3 x 7 x 13

The highest common occurrence is 3¹

Therefore, GCD of 753, 513, 165, 819 is 3.

Given numbers are 753, 513, 165, 819

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

Apply this formula for all numbers.

Step1:

LCM(753, 513) = 128763

GCD(753, 513) = ( 753 x 513 ) / 128763

= 753 / 513

= 753

Step2:

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

= 3 / 165

= 3

Step3:

LCM(3, 819) = 819

GCD(3, 819) = ( 3 x 819 ) / 819

= 3 / 819

= 3

So, Greatest Common Divisor of 753, 513, 165, 819 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 699, 185, 628
• GCD of 827, 792, 413, 427
• GCD of 817, 107, 308, 425
• GCD of 155, 689, 778, 642
• GCD of 658, 136, 318, 791

Given numbers are 753, 513, 165, 819
The greatest common divisor of numbers 753, 513, 165, 819 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 513, 165, 819 is 3.

1. What is the GCD of 753, 513, 165, 819?

GCD of given numbers 753, 513, 165, 819 is 3

2. How to calculate the greatest common divisor of 753, 513, 165, 819?

We can find the highest common divisor of 753, 513, 165, 819 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 753, 513, 165, 819 i.e 3.

3. How can I use the GCD of 753, 513, 165, 819Calculator?

Out the numbers 753, 513, 165, 819 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.