GCD of 120, 303, 927, 747 Calculator

Given Input numbers are 120, 303, 927, 747

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

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 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 927 :

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

1, 3, 9, 103, 309, 927

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (120, 303, 927, 747) = 3.

Given numbers are 120, 303, 927, 747

The list of prime factors of all numbers are

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

Prime factors of 303 are 3 x 101

Prime factors of 927 are 3 x 3 x 103

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 120, 303, 927, 747 is 3.

Given numbers are 120, 303, 927, 747

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

Apply this formula for all numbers.

Step1:

LCM(120, 303) = 12120

GCD(120, 303) = ( 120 x 303 ) / 12120

= 120 / 303

= 120

Step2:

LCM(3, 927) = 927

GCD(3, 927) = ( 3 x 927 ) / 927

= 3 / 927

= 3

Step3:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

So, Greatest Common Divisor of 120, 303, 927, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 826, 799, 899
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• GCD of 582, 673, 893, 346

Given numbers are 120, 303, 927, 747
The greatest common divisor of numbers 120, 303, 927, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 303, 927, 747 is 3.

1. What is the GCD of 120, 303, 927, 747?

GCD of given numbers 120, 303, 927, 747 is 3

2. How to calculate the greatest common divisor of 120, 303, 927, 747?

We can find the highest common divisor of 120, 303, 927, 747 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 120, 303, 927, 747 i.e 3.

3. How can I use the GCD of 120, 303, 927, 747Calculator?

Out the numbers 120, 303, 927, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.