GCD of 345, 291, 561, 171 Calculator

Given Input numbers are 345, 291, 561, 171

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 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (345, 291, 561, 171) = 3.

Given numbers are 345, 291, 561, 171

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 291 are 3 x 97

Prime factors of 561 are 3 x 11 x 17

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 345, 291, 561, 171 is 3.

Given numbers are 345, 291, 561, 171

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

Apply this formula for all numbers.

Step1:

LCM(345, 291) = 33465

GCD(345, 291) = ( 345 x 291 ) / 33465

= 345 / 291

= 345

Step2:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

Step3:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

So, Greatest Common Divisor of 345, 291, 561, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 735, 523, 791
• GCD of 866, 999, 674, 735
• GCD of 886, 727, 852, 397
• GCD of 256, 642, 389, 168
• GCD of 373, 159, 309, 152

Given numbers are 345, 291, 561, 171
The greatest common divisor of numbers 345, 291, 561, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 291, 561, 171 is 3.

1. What is the GCD of 345, 291, 561, 171?

GCD of given numbers 345, 291, 561, 171 is 3

2. How to calculate the greatest common divisor of 345, 291, 561, 171?

We can find the highest common divisor of 345, 291, 561, 171 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, 291, 561, 171 i.e 3.

3. How can I use the GCD of 345, 291, 561, 171Calculator?

Out the numbers 345, 291, 561, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.