GCD of 305, 240, 60, 824 Calculator

Given Input numbers are 305, 240, 60, 824

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

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

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 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (305, 240, 60, 824) = 1.

Given numbers are 305, 240, 60, 824

The list of prime factors of all numbers are

Prime factors of 305 are 5 x 61

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

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 824 are 2 x 2 x 2 x 103

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

Given numbers are 305, 240, 60, 824

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

Apply this formula for all numbers.

Step1:

LCM(305, 240) = 14640

GCD(305, 240) = ( 305 x 240 ) / 14640

= 305 / 240

= 305

Step2:

LCM(5, 60) = 60

GCD(5, 60) = ( 5 x 60 ) / 60

= 5 / 60

= 5

Step3:

LCM(5, 824) = 4120

GCD(5, 824) = ( 5 x 824 ) / 4120

= 5 / 824

= 5

So, Greatest Common Divisor of 305, 240, 60, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 610, 92, 478
• GCD of 807, 388, 35, 215
• GCD of 288, 476, 17, 778
• GCD of 419, 509, 62, 363
• GCD of 694, 308, 46, 733

Given numbers are 305, 240, 60, 824
The greatest common divisor of numbers 305, 240, 60, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 240, 60, 824 is 1.

1. What is the GCD of 305, 240, 60, 824?

GCD of given numbers 305, 240, 60, 824 is 1

2. How to calculate the greatest common divisor of 305, 240, 60, 824?

We can find the highest common divisor of 305, 240, 60, 824 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 305, 240, 60, 824 i.e 1.

3. How can I use the GCD of 305, 240, 60, 824Calculator?

Out the numbers 305, 240, 60, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.