GCD of 345, 422, 429, 717 Calculator

Given Input numbers are 345, 422, 429, 717

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (345, 422, 429, 717) = 1.

Given numbers are 345, 422, 429, 717

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 422 are 2 x 211

Prime factors of 429 are 3 x 11 x 13

Prime factors of 717 are 3 x 239

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

Given numbers are 345, 422, 429, 717

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

Apply this formula for all numbers.

Step1:

LCM(345, 422) = 145590

GCD(345, 422) = ( 345 x 422 ) / 145590

= 345 / 422

= 345

Step2:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1

Step3:

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

= 1 / 717

= 1

So, Greatest Common Divisor of 345, 422, 429, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 360, 328, 363
• GCD of 966, 137, 454, 529
• GCD of 304, 271, 213, 468
• GCD of 488, 149, 211, 626
• GCD of 148, 749, 979, 208

Given numbers are 345, 422, 429, 717
The greatest common divisor of numbers 345, 422, 429, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 422, 429, 717 is 1.

1. What is the GCD of 345, 422, 429, 717?

GCD of given numbers 345, 422, 429, 717 is 1

2. How to calculate the greatest common divisor of 345, 422, 429, 717?

We can find the highest common divisor of 345, 422, 429, 717 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, 422, 429, 717 i.e 1.

3. How can I use the GCD of 345, 422, 429, 717Calculator?

Out the numbers 345, 422, 429, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.