GCD of 824, 654, 394, 170 Calculator

Given Input numbers are 824, 654, 394, 170

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

Divisors of 824 :

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

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

GCD of numbers is the greatest common divisor

So, the GCD (824, 654, 394, 170) = 2.

Given numbers are 824, 654, 394, 170

The list of prime factors of all numbers are

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

Prime factors of 654 are 2 x 3 x 109

Prime factors of 394 are 2 x 197

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 824, 654, 394, 170 is 2.

Given numbers are 824, 654, 394, 170

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

Apply this formula for all numbers.

Step1:

LCM(824, 654) = 269448

GCD(824, 654) = ( 824 x 654 ) / 269448

= 824 / 654

= 824

Step2:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2

Step3:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

So, Greatest Common Divisor of 824, 654, 394, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 809, 216, 727
• GCD of 830, 350, 980, 563
• GCD of 589, 166, 268, 797
• GCD of 794, 744, 319, 787
• GCD of 317, 731, 516, 792

Given numbers are 824, 654, 394, 170
The greatest common divisor of numbers 824, 654, 394, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 654, 394, 170 is 2.

1. What is the GCD of 824, 654, 394, 170?

GCD of given numbers 824, 654, 394, 170 is 2

2. How to calculate the greatest common divisor of 824, 654, 394, 170?

We can find the highest common divisor of 824, 654, 394, 170 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 824, 654, 394, 170 i.e 2.

3. How can I use the GCD of 824, 654, 394, 170Calculator?

Out the numbers 824, 654, 394, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.