GCD of 828, 315, 753, 111 Calculator

Given Input numbers are 828, 315, 753, 111

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 753 :

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

1, 3, 251, 753

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

GCD of numbers is the greatest common divisor

So, the GCD (828, 315, 753, 111) = 3.

Given numbers are 828, 315, 753, 111

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 753 are 3 x 251

Prime factors of 111 are 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 828, 315, 753, 111 is 3.

Given numbers are 828, 315, 753, 111

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

Apply this formula for all numbers.

Step1:

LCM(828, 315) = 28980

GCD(828, 315) = ( 828 x 315 ) / 28980

= 828 / 315

= 828

Step2:

LCM(9, 753) = 2259

GCD(9, 753) = ( 9 x 753 ) / 2259

= 9 / 753

= 9

Step3:

LCM(3, 111) = 111

GCD(3, 111) = ( 3 x 111 ) / 111

= 3 / 111

= 3

So, Greatest Common Divisor of 828, 315, 753, 111 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 625, 601, 851
• GCD of 906, 378, 149, 959
• GCD of 224, 582, 768, 808
• GCD of 367, 458, 767, 566
• GCD of 249, 425, 797, 393

Given numbers are 828, 315, 753, 111
The greatest common divisor of numbers 828, 315, 753, 111 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 315, 753, 111 is 3.

1. What is the GCD of 828, 315, 753, 111?

GCD of given numbers 828, 315, 753, 111 is 3

2. How to calculate the greatest common divisor of 828, 315, 753, 111?

We can find the highest common divisor of 828, 315, 753, 111 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 828, 315, 753, 111 i.e 3.

3. How can I use the GCD of 828, 315, 753, 111Calculator?

Out the numbers 828, 315, 753, 111 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.