GCD of 241, 360, 768, 495 Calculator

Given Input numbers are 241, 360, 768, 495

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

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

GCD of numbers is the greatest common divisor

So, the GCD (241, 360, 768, 495) = 1.

Given numbers are 241, 360, 768, 495

The list of prime factors of all numbers are

Prime factors of 241 are 241

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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 495 are 3 x 3 x 5 x 11

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

Given numbers are 241, 360, 768, 495

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

Apply this formula for all numbers.

Step1:

LCM(241, 360) = 86760

GCD(241, 360) = ( 241 x 360 ) / 86760

= 241 / 360

= 241

Step2:

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

= 1 / 768

= 1

Step3:

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

= 1 / 495

= 1

So, Greatest Common Divisor of 241, 360, 768, 495 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 393, 133, 701
• GCD of 640, 155, 500, 665
• GCD of 443, 726, 153, 487
• GCD of 616, 576, 290, 485
• GCD of 658, 601, 667, 488

Given numbers are 241, 360, 768, 495
The greatest common divisor of numbers 241, 360, 768, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 241, 360, 768, 495 is 1.

1. What is the GCD of 241, 360, 768, 495?

GCD of given numbers 241, 360, 768, 495 is 1

2. How to calculate the greatest common divisor of 241, 360, 768, 495?

We can find the highest common divisor of 241, 360, 768, 495 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 241, 360, 768, 495 i.e 1.

3. How can I use the GCD of 241, 360, 768, 495Calculator?

Out the numbers 241, 360, 768, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.