GCD of 120, 767, 546, 288 Calculator

Given Input numbers are 120, 767, 546, 288

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 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (120, 767, 546, 288) = 1.

Given numbers are 120, 767, 546, 288

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 767 are 13 x 59

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 120, 767, 546, 288

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

Apply this formula for all numbers.

Step1:

LCM(120, 767) = 92040

GCD(120, 767) = ( 120 x 767 ) / 92040

= 120 / 767

= 120

Step2:

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

= 1 / 546

= 1

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 120, 767, 546, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 760, 417, 508
• GCD of 940, 354, 196, 813
• GCD of 813, 108, 533, 513
• GCD of 538, 787, 796, 771
• GCD of 893, 401, 170, 268

Given numbers are 120, 767, 546, 288
The greatest common divisor of numbers 120, 767, 546, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 767, 546, 288 is 1.

1. What is the GCD of 120, 767, 546, 288?

GCD of given numbers 120, 767, 546, 288 is 1

2. How to calculate the greatest common divisor of 120, 767, 546, 288?

We can find the highest common divisor of 120, 767, 546, 288 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, 767, 546, 288 i.e 1.

3. How can I use the GCD of 120, 767, 546, 288Calculator?

Out the numbers 120, 767, 546, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.