GCD of 300, 241, 660, 342 Calculator

Given Input numbers are 300, 241, 660, 342

In the factoring method, we have to find the divisors of all numbers

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (300, 241, 660, 342) = 1.

Given numbers are 300, 241, 660, 342

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 241 are 241

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

Prime factors of 342 are 2 x 3 x 3 x 19

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

Given numbers are 300, 241, 660, 342

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

Apply this formula for all numbers.

Step1:

LCM(300, 241) = 72300

GCD(300, 241) = ( 300 x 241 ) / 72300

= 300 / 241

= 300

Step2:

LCM(1, 660) = 660

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

= 1 / 660

= 1

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 300, 241, 660, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 420, 588, 492
• GCD of 907, 168, 971, 199
• GCD of 378, 462, 792, 184
• GCD of 936, 972, 105, 246
• GCD of 281, 115, 468, 677

Given numbers are 300, 241, 660, 342
The greatest common divisor of numbers 300, 241, 660, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 241, 660, 342 is 1.

1. What is the GCD of 300, 241, 660, 342?

GCD of given numbers 300, 241, 660, 342 is 1

2. How to calculate the greatest common divisor of 300, 241, 660, 342?

We can find the highest common divisor of 300, 241, 660, 342 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 300, 241, 660, 342 i.e 1.

3. How can I use the GCD of 300, 241, 660, 342Calculator?

Out the numbers 300, 241, 660, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.