GCD of 828, 690, 206, 530 Calculator

Given Input numbers are 828, 690, 206, 530

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 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

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

GCD of numbers is the greatest common divisor

So, the GCD (828, 690, 206, 530) = 2.

Given numbers are 828, 690, 206, 530

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 690 are 2 x 3 x 5 x 23

Prime factors of 206 are 2 x 103

Prime factors of 530 are 2 x 5 x 53

The highest common occurrence is 2¹

Therefore, GCD of 828, 690, 206, 530 is 2.

Given numbers are 828, 690, 206, 530

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

Apply this formula for all numbers.

Step1:

LCM(828, 690) = 4140

GCD(828, 690) = ( 828 x 690 ) / 4140

= 828 / 690

= 828

Step2:

LCM(138, 206) = 14214

GCD(138, 206) = ( 138 x 206 ) / 14214

= 138 / 206

= 138

Step3:

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

= 2 / 530

= 2

So, Greatest Common Divisor of 828, 690, 206, 530 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 834, 853, 113
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Given numbers are 828, 690, 206, 530
The greatest common divisor of numbers 828, 690, 206, 530 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 690, 206, 530 is 2.

1. What is the GCD of 828, 690, 206, 530?

GCD of given numbers 828, 690, 206, 530 is 2

2. How to calculate the greatest common divisor of 828, 690, 206, 530?

We can find the highest common divisor of 828, 690, 206, 530 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, 690, 206, 530 i.e 2.

3. How can I use the GCD of 828, 690, 206, 530Calculator?

Out the numbers 828, 690, 206, 530 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.