GCD of 345, 916, 605, 438 Calculator

Given Input numbers are 345, 916, 605, 438

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (345, 916, 605, 438) = 1.

Given numbers are 345, 916, 605, 438

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 916 are 2 x 2 x 229

Prime factors of 605 are 5 x 11 x 11

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 345, 916, 605, 438

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

Apply this formula for all numbers.

Step1:

LCM(345, 916) = 316020

GCD(345, 916) = ( 345 x 916 ) / 316020

= 345 / 916

= 345

Step2:

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

= 1 / 605

= 1

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 345, 916, 605, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 706, 904, 132
• GCD of 640, 546, 292, 959
• GCD of 644, 650, 250, 301
• GCD of 908, 756, 861, 691
• GCD of 251, 352, 158, 394

Given numbers are 345, 916, 605, 438
The greatest common divisor of numbers 345, 916, 605, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 916, 605, 438 is 1.

1. What is the GCD of 345, 916, 605, 438?

GCD of given numbers 345, 916, 605, 438 is 1

2. How to calculate the greatest common divisor of 345, 916, 605, 438?

We can find the highest common divisor of 345, 916, 605, 438 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, 916, 605, 438 i.e 1.

3. How can I use the GCD of 345, 916, 605, 438Calculator?

Out the numbers 345, 916, 605, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.