GCD of 345, 701, 17 Calculator

Given Input numbers are 345, 701, 17

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 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

Divisors of 17 :

The positive integer divisors of 17 that completely divides 17 are.

1, 17

GCD of numbers is the greatest common divisor

So, the GCD (345, 701, 17) = 1.

Given numbers are 345, 701, 17

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 701 are 701

Prime factors of 17 are 17

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

Given numbers are 345, 701, 17

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

Apply this formula for all numbers.

Step1:

LCM(345, 701) = 241845

GCD(345, 701) = ( 345 x 701 ) / 241845

= 345 / 701

= 345

Step2:

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

= 1 / 17

= 1

So, Greatest Common Divisor of 345, 701, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 213, 73
• GCD of 723, 950, 73
• GCD of 900, 557, 42
• GCD of 953, 478, 66
• GCD of 252, 507, 86

Given numbers are 345, 701, 17
The greatest common divisor of numbers 345, 701, 17 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 701, 17 is 1.

1. What is the GCD of 345, 701, 17?

GCD of given numbers 345, 701, 17 is 1

2. How to calculate the greatest common divisor of 345, 701, 17?

We can find the highest common divisor of 345, 701, 17 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, 701, 17 i.e 1.

3. How can I use the GCD of 345, 701, 17Calculator?

Out the numbers 345, 701, 17 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.