GCD of 345, 170, 465, 308 Calculator

Given Input numbers are 345, 170, 465, 308

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 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (345, 170, 465, 308) = 1.

Given numbers are 345, 170, 465, 308

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 170 are 2 x 5 x 17

Prime factors of 465 are 3 x 5 x 31

Prime factors of 308 are 2 x 2 x 7 x 11

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

Given numbers are 345, 170, 465, 308

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

Apply this formula for all numbers.

Step1:

LCM(345, 170) = 11730

GCD(345, 170) = ( 345 x 170 ) / 11730

= 345 / 170

= 345

Step2:

LCM(5, 465) = 465

GCD(5, 465) = ( 5 x 465 ) / 465

= 5 / 465

= 5

Step3:

LCM(5, 308) = 1540

GCD(5, 308) = ( 5 x 308 ) / 1540

= 5 / 308

= 5

So, Greatest Common Divisor of 345, 170, 465, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 535, 674, 917
• GCD of 605, 274, 289, 236
• GCD of 920, 985, 823, 752
• GCD of 938, 292, 519, 425
• GCD of 809, 378, 137, 147

Given numbers are 345, 170, 465, 308
The greatest common divisor of numbers 345, 170, 465, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 170, 465, 308 is 1.

1. What is the GCD of 345, 170, 465, 308?

GCD of given numbers 345, 170, 465, 308 is 1

2. How to calculate the greatest common divisor of 345, 170, 465, 308?

We can find the highest common divisor of 345, 170, 465, 308 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, 170, 465, 308 i.e 1.

3. How can I use the GCD of 345, 170, 465, 308Calculator?

Out the numbers 345, 170, 465, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.