GCD of 828, 178, 109, 469 Calculator

Given Input numbers are 828, 178, 109, 469

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 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

GCD of numbers is the greatest common divisor

So, the GCD (828, 178, 109, 469) = 1.

Given numbers are 828, 178, 109, 469

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 178 are 2 x 89

Prime factors of 109 are 109

Prime factors of 469 are 7 x 67

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

Given numbers are 828, 178, 109, 469

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

Apply this formula for all numbers.

Step1:

LCM(828, 178) = 73692

GCD(828, 178) = ( 828 x 178 ) / 73692

= 828 / 178

= 828

Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

Step3:

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

= 1 / 469

= 1

So, Greatest Common Divisor of 828, 178, 109, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 104, 143, 949
• GCD of 541, 191, 804, 393
• GCD of 347, 365, 998, 824
• GCD of 948, 407, 146, 392
• GCD of 491, 837, 840, 798

Given numbers are 828, 178, 109, 469
The greatest common divisor of numbers 828, 178, 109, 469 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 178, 109, 469 is 1.

1. What is the GCD of 828, 178, 109, 469?

GCD of given numbers 828, 178, 109, 469 is 1

2. How to calculate the greatest common divisor of 828, 178, 109, 469?

We can find the highest common divisor of 828, 178, 109, 469 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, 178, 109, 469 i.e 1.

3. How can I use the GCD of 828, 178, 109, 469Calculator?

Out the numbers 828, 178, 109, 469 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.