GCD of 591, 843, 120, 240 Calculator

Given Input numbers are 591, 843, 120, 240

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

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (591, 843, 120, 240) = 3.

Given numbers are 591, 843, 120, 240

The list of prime factors of all numbers are

Prime factors of 591 are 3 x 197

Prime factors of 843 are 3 x 281

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

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 591, 843, 120, 240 is 3.

Given numbers are 591, 843, 120, 240

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

Apply this formula for all numbers.

Step1:

LCM(591, 843) = 166071

GCD(591, 843) = ( 591 x 843 ) / 166071

= 591 / 843

= 591

Step2:

LCM(3, 120) = 120

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

= 3 / 120

= 3

Step3:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 591, 843, 120, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 730, 458, 477
• GCD of 449, 910, 132, 905
• GCD of 340, 685, 538, 528
• GCD of 129, 369, 626, 359
• GCD of 532, 383, 308, 480

Given numbers are 591, 843, 120, 240
The greatest common divisor of numbers 591, 843, 120, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 591, 843, 120, 240 is 3.

1. What is the GCD of 591, 843, 120, 240?

GCD of given numbers 591, 843, 120, 240 is 3

2. How to calculate the greatest common divisor of 591, 843, 120, 240?

We can find the highest common divisor of 591, 843, 120, 240 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 591, 843, 120, 240 i.e 3.

3. How can I use the GCD of 591, 843, 120, 240Calculator?

Out the numbers 591, 843, 120, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.