GCD of 345, 211, 354, 660 Calculator

Given Input numbers are 345, 211, 354, 660

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 211 :

The positive integer divisors of 211 that completely divides 211 are.

1, 211

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (345, 211, 354, 660) = 1.

Given numbers are 345, 211, 354, 660

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 211 are 211

Prime factors of 354 are 2 x 3 x 59

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Given numbers are 345, 211, 354, 660

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

Apply this formula for all numbers.

Step1:

LCM(345, 211) = 72795

GCD(345, 211) = ( 345 x 211 ) / 72795

= 345 / 211

= 345

Step2:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 345, 211, 354, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 276, 146, 205
• GCD of 101, 169, 205, 505
• GCD of 362, 229, 923, 245
• GCD of 303, 392, 729, 872
• GCD of 292, 191, 447, 708

Given numbers are 345, 211, 354, 660
The greatest common divisor of numbers 345, 211, 354, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 211, 354, 660 is 1.

1. What is the GCD of 345, 211, 354, 660?

GCD of given numbers 345, 211, 354, 660 is 1

2. How to calculate the greatest common divisor of 345, 211, 354, 660?

We can find the highest common divisor of 345, 211, 354, 660 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, 211, 354, 660 i.e 1.

3. How can I use the GCD of 345, 211, 354, 660Calculator?

Out the numbers 345, 211, 354, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.