GCD of 345, 552, 221, 174 Calculator

Given Input numbers are 345, 552, 221, 174

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 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (345, 552, 221, 174) = 1.

Given numbers are 345, 552, 221, 174

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 221 are 13 x 17

Prime factors of 174 are 2 x 3 x 29

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

Given numbers are 345, 552, 221, 174

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

Apply this formula for all numbers.

Step1:

LCM(345, 552) = 2760

GCD(345, 552) = ( 345 x 552 ) / 2760

= 345 / 552

= 345

Step2:

LCM(69, 221) = 15249

GCD(69, 221) = ( 69 x 221 ) / 15249

= 69 / 221

= 69

Step3:

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

= 1 / 174

= 1

So, Greatest Common Divisor of 345, 552, 221, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 889, 275, 240
• GCD of 560, 538, 465, 806
• GCD of 571, 995, 768, 455
• GCD of 438, 536, 164, 546
• GCD of 855, 128, 927, 146

Given numbers are 345, 552, 221, 174
The greatest common divisor of numbers 345, 552, 221, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 552, 221, 174 is 1.

1. What is the GCD of 345, 552, 221, 174?

GCD of given numbers 345, 552, 221, 174 is 1

2. How to calculate the greatest common divisor of 345, 552, 221, 174?

We can find the highest common divisor of 345, 552, 221, 174 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, 552, 221, 174 i.e 1.

3. How can I use the GCD of 345, 552, 221, 174Calculator?

Out the numbers 345, 552, 221, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.