GCD of 768, 240, 538, 131 Calculator

Given Input numbers are 768, 240, 538, 131

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

GCD of numbers is the greatest common divisor

So, the GCD (768, 240, 538, 131) = 1.

Given numbers are 768, 240, 538, 131

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 538 are 2 x 269

Prime factors of 131 are 131

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

Given numbers are 768, 240, 538, 131

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

Apply this formula for all numbers.

Step1:

LCM(768, 240) = 3840

GCD(768, 240) = ( 768 x 240 ) / 3840

= 768 / 240

= 768

Step2:

LCM(48, 538) = 12912

GCD(48, 538) = ( 48 x 538 ) / 12912

= 48 / 538

= 48

Step3:

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

= 2 / 131

= 2

So, Greatest Common Divisor of 768, 240, 538, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 324, 499, 721
• GCD of 209, 976, 822, 399
• GCD of 811, 901, 907, 909
• GCD of 956, 609, 822, 308
• GCD of 889, 963, 418, 172

Given numbers are 768, 240, 538, 131
The greatest common divisor of numbers 768, 240, 538, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 240, 538, 131 is 1.

1. What is the GCD of 768, 240, 538, 131?

GCD of given numbers 768, 240, 538, 131 is 1

2. How to calculate the greatest common divisor of 768, 240, 538, 131?

We can find the highest common divisor of 768, 240, 538, 131 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 768, 240, 538, 131 i.e 1.

3. How can I use the GCD of 768, 240, 538, 131Calculator?

Out the numbers 768, 240, 538, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.