GCD of 240, 506, 182, 313 Calculator

Given Input numbers are 240, 506, 182, 313

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

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (240, 506, 182, 313) = 1.

Given numbers are 240, 506, 182, 313

The list of prime factors of all numbers are

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

Prime factors of 506 are 2 x 11 x 23

Prime factors of 182 are 2 x 7 x 13

Prime factors of 313 are 313

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

Given numbers are 240, 506, 182, 313

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

Apply this formula for all numbers.

Step1:

LCM(240, 506) = 60720

GCD(240, 506) = ( 240 x 506 ) / 60720

= 240 / 506

= 240

Step2:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

Step3:

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

= 2 / 313

= 2

So, Greatest Common Divisor of 240, 506, 182, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 902, 257, 553
• GCD of 711, 113, 163, 197
• GCD of 102, 938, 314, 939
• GCD of 150, 589, 155, 227
• GCD of 447, 625, 781, 659

Given numbers are 240, 506, 182, 313
The greatest common divisor of numbers 240, 506, 182, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 506, 182, 313 is 1.

1. What is the GCD of 240, 506, 182, 313?

GCD of given numbers 240, 506, 182, 313 is 1

2. How to calculate the greatest common divisor of 240, 506, 182, 313?

We can find the highest common divisor of 240, 506, 182, 313 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 240, 506, 182, 313 i.e 1.

3. How can I use the GCD of 240, 506, 182, 313Calculator?

Out the numbers 240, 506, 182, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.