GCD of 828, 230, 435, 660 Calculator

Given Input numbers are 828, 230, 435, 660

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (828, 230, 435, 660) = 1.

Given numbers are 828, 230, 435, 660

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 230 are 2 x 5 x 23

Prime factors of 435 are 3 x 5 x 29

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Given numbers are 828, 230, 435, 660

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

Apply this formula for all numbers.

Step1:

LCM(828, 230) = 4140

GCD(828, 230) = ( 828 x 230 ) / 4140

= 828 / 230

= 828

Step2:

LCM(46, 435) = 20010

GCD(46, 435) = ( 46 x 435 ) / 20010

= 46 / 435

= 46

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 828, 230, 435, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 599, 312, 915
• GCD of 264, 145, 567, 234
• GCD of 946, 133, 439, 184
• GCD of 704, 945, 866, 845
• GCD of 949, 366, 903, 146

Given numbers are 828, 230, 435, 660
The greatest common divisor of numbers 828, 230, 435, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 230, 435, 660 is 1.

1. What is the GCD of 828, 230, 435, 660?

GCD of given numbers 828, 230, 435, 660 is 1

2. How to calculate the greatest common divisor of 828, 230, 435, 660?

We can find the highest common divisor of 828, 230, 435, 660 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, 230, 435, 660 i.e 1.

3. How can I use the GCD of 828, 230, 435, 660Calculator?

Out the numbers 828, 230, 435, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.