GCD of 828, 830, 380, 690 Calculator

Given Input numbers are 828, 830, 380, 690

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 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (828, 830, 380, 690) = 2.

Given numbers are 828, 830, 380, 690

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 830 are 2 x 5 x 83

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 828, 830, 380, 690 is 2.

Given numbers are 828, 830, 380, 690

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

Apply this formula for all numbers.

Step1:

LCM(828, 830) = 343620

GCD(828, 830) = ( 828 x 830 ) / 343620

= 828 / 830

= 828

Step2:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

So, Greatest Common Divisor of 828, 830, 380, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 768, 856, 493
• GCD of 498, 119, 643, 616
• GCD of 661, 402, 997, 928
• GCD of 580, 488, 390, 180
• GCD of 985, 812, 519, 302

Given numbers are 828, 830, 380, 690
The greatest common divisor of numbers 828, 830, 380, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 830, 380, 690 is 2.

1. What is the GCD of 828, 830, 380, 690?

GCD of given numbers 828, 830, 380, 690 is 2

2. How to calculate the greatest common divisor of 828, 830, 380, 690?

We can find the highest common divisor of 828, 830, 380, 690 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, 830, 380, 690 i.e 2.

3. How can I use the GCD of 828, 830, 380, 690Calculator?

Out the numbers 828, 830, 380, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.