GCD of 345, 172, 694 Calculator

Given Input numbers are 345, 172, 694

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (345, 172, 694) = 1.

Given numbers are 345, 172, 694

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 172 are 2 x 2 x 43

Prime factors of 694 are 2 x 347

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

Given numbers are 345, 172, 694

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

Apply this formula for all numbers.

Step1:

LCM(345, 172) = 59340

GCD(345, 172) = ( 345 x 172 ) / 59340

= 345 / 172

= 345

Step2:

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

= 1 / 694

= 1

So, Greatest Common Divisor of 345, 172, 694 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 460, 965
• GCD of 935, 579, 175
• GCD of 839, 709, 705
• GCD of 100, 179, 315
• GCD of 498, 840, 878

Given numbers are 345, 172, 694
The greatest common divisor of numbers 345, 172, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 172, 694 is 1.

1. What is the GCD of 345, 172, 694?

GCD of given numbers 345, 172, 694 is 1

2. How to calculate the greatest common divisor of 345, 172, 694?

We can find the highest common divisor of 345, 172, 694 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 345, 172, 694 i.e 1.

3. How can I use the GCD of 345, 172, 694Calculator?

Out the numbers 345, 172, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.