GCD of 308, 824, 892, 189 Calculator

Given Input numbers are 308, 824, 892, 189

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (308, 824, 892, 189) = 1.

Given numbers are 308, 824, 892, 189

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 892 are 2 x 2 x 223

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 308, 824, 892, 189

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

Apply this formula for all numbers.

Step1:

LCM(308, 824) = 63448

GCD(308, 824) = ( 308 x 824 ) / 63448

= 308 / 824

= 308

Step2:

LCM(4, 892) = 892

GCD(4, 892) = ( 4 x 892 ) / 892

= 4 / 892

= 4

Step3:

LCM(4, 189) = 756

GCD(4, 189) = ( 4 x 189 ) / 756

= 4 / 189

= 4

So, Greatest Common Divisor of 308, 824, 892, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 695, 301, 580
• GCD of 688, 995, 776, 463
• GCD of 307, 832, 537, 957
• GCD of 378, 104, 157, 919
• GCD of 488, 609, 830, 938

Given numbers are 308, 824, 892, 189
The greatest common divisor of numbers 308, 824, 892, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 824, 892, 189 is 1.

1. What is the GCD of 308, 824, 892, 189?

GCD of given numbers 308, 824, 892, 189 is 1

2. How to calculate the greatest common divisor of 308, 824, 892, 189?

We can find the highest common divisor of 308, 824, 892, 189 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 308, 824, 892, 189 i.e 1.

3. How can I use the GCD of 308, 824, 892, 189Calculator?

Out the numbers 308, 824, 892, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.