GCD of 309, 927, 822, 120 Calculator

Given Input numbers are 309, 927, 822, 120

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (309, 927, 822, 120) = 3.

Given numbers are 309, 927, 822, 120

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 927 are 3 x 3 x 103

Prime factors of 822 are 2 x 3 x 137

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 309, 927, 822, 120 is 3.

Given numbers are 309, 927, 822, 120

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

Apply this formula for all numbers.

Step1:

LCM(309, 927) = 927

GCD(309, 927) = ( 309 x 927 ) / 927

= 309 / 927

= 309

Step2:

LCM(309, 822) = 84666

GCD(309, 822) = ( 309 x 822 ) / 84666

= 309 / 822

= 309

Step3:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

So, Greatest Common Divisor of 309, 927, 822, 120 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 449, 371, 371
• GCD of 146, 696, 152, 267
• GCD of 141, 862, 751, 308
• GCD of 237, 419, 381, 462
• GCD of 632, 698, 965, 178

Given numbers are 309, 927, 822, 120
The greatest common divisor of numbers 309, 927, 822, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 927, 822, 120 is 3.

1. What is the GCD of 309, 927, 822, 120?

GCD of given numbers 309, 927, 822, 120 is 3

2. How to calculate the greatest common divisor of 309, 927, 822, 120?

We can find the highest common divisor of 309, 927, 822, 120 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 309, 927, 822, 120 i.e 3.

3. How can I use the GCD of 309, 927, 822, 120Calculator?

Out the numbers 309, 927, 822, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.