GCD of 105, 174, 699, 392 Calculator

Given Input numbers are 105, 174, 699, 392

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

GCD of numbers is the greatest common divisor

So, the GCD (105, 174, 699, 392) = 1.

Given numbers are 105, 174, 699, 392

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 174 are 2 x 3 x 29

Prime factors of 699 are 3 x 233

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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

Given numbers are 105, 174, 699, 392

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

Apply this formula for all numbers.

Step1:

LCM(105, 174) = 6090

GCD(105, 174) = ( 105 x 174 ) / 6090

= 105 / 174

= 105

Step2:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

Step3:

LCM(3, 392) = 1176

GCD(3, 392) = ( 3 x 392 ) / 1176

= 3 / 392

= 3

So, Greatest Common Divisor of 105, 174, 699, 392 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 122, 499, 123
• GCD of 843, 430, 311, 542
• GCD of 542, 358, 334, 838
• GCD of 702, 784, 324, 888
• GCD of 375, 957, 556, 184

Given numbers are 105, 174, 699, 392
The greatest common divisor of numbers 105, 174, 699, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 174, 699, 392 is 1.

1. What is the GCD of 105, 174, 699, 392?

GCD of given numbers 105, 174, 699, 392 is 1

2. How to calculate the greatest common divisor of 105, 174, 699, 392?

We can find the highest common divisor of 105, 174, 699, 392 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 105, 174, 699, 392 i.e 1.

3. How can I use the GCD of 105, 174, 699, 392Calculator?

Out the numbers 105, 174, 699, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.