GCD of 279, 312, 537, 120 Calculator

Given Input numbers are 279, 312, 537, 120

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

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 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

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 (279, 312, 537, 120) = 3.

Given numbers are 279, 312, 537, 120

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

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

Prime factors of 537 are 3 x 179

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

The highest common occurrence is 3¹

Therefore, GCD of 279, 312, 537, 120 is 3.

Given numbers are 279, 312, 537, 120

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

Apply this formula for all numbers.

Step1:

LCM(279, 312) = 29016

GCD(279, 312) = ( 279 x 312 ) / 29016

= 279 / 312

= 279

Step2:

LCM(3, 537) = 537

GCD(3, 537) = ( 3 x 537 ) / 537

= 3 / 537

= 3

Step3:

LCM(3, 120) = 120

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

= 3 / 120

= 3

So, Greatest Common Divisor of 279, 312, 537, 120 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 678, 348, 851
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Given numbers are 279, 312, 537, 120
The greatest common divisor of numbers 279, 312, 537, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 312, 537, 120 is 3.

1. What is the GCD of 279, 312, 537, 120?

GCD of given numbers 279, 312, 537, 120 is 3

2. How to calculate the greatest common divisor of 279, 312, 537, 120?

We can find the highest common divisor of 279, 312, 537, 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 279, 312, 537, 120 i.e 3.

3. How can I use the GCD of 279, 312, 537, 120Calculator?

Out the numbers 279, 312, 537, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.