GCD of 330, 312, 921, 142 Calculator

Given Input numbers are 330, 312, 921, 142

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

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (330, 312, 921, 142) = 1.

Given numbers are 330, 312, 921, 142

The list of prime factors of all numbers are

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 921 are 3 x 307

Prime factors of 142 are 2 x 71

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

Given numbers are 330, 312, 921, 142

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

Apply this formula for all numbers.

Step1:

LCM(330, 312) = 17160

GCD(330, 312) = ( 330 x 312 ) / 17160

= 330 / 312

= 330

Step2:

LCM(6, 921) = 1842

GCD(6, 921) = ( 6 x 921 ) / 1842

= 6 / 921

= 6

Step3:

LCM(3, 142) = 426

GCD(3, 142) = ( 3 x 142 ) / 426

= 3 / 142

= 3

So, Greatest Common Divisor of 330, 312, 921, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 222, 384, 395
• GCD of 679, 273, 602, 715
• GCD of 992, 941, 816, 189
• GCD of 976, 334, 776, 680
• GCD of 379, 843, 101, 461

Given numbers are 330, 312, 921, 142
The greatest common divisor of numbers 330, 312, 921, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 312, 921, 142 is 1.

1. What is the GCD of 330, 312, 921, 142?

GCD of given numbers 330, 312, 921, 142 is 1

2. How to calculate the greatest common divisor of 330, 312, 921, 142?

We can find the highest common divisor of 330, 312, 921, 142 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 330, 312, 921, 142 i.e 1.

3. How can I use the GCD of 330, 312, 921, 142Calculator?

Out the numbers 330, 312, 921, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.