GCD of 240, 507, 518, 448 Calculator

Given Input numbers are 240, 507, 518, 448

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 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (240, 507, 518, 448) = 1.

Given numbers are 240, 507, 518, 448

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 507 are 3 x 13 x 13

Prime factors of 518 are 2 x 7 x 37

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 240, 507, 518, 448

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

Apply this formula for all numbers.

Step1:

LCM(240, 507) = 40560

GCD(240, 507) = ( 240 x 507 ) / 40560

= 240 / 507

= 240

Step2:

LCM(3, 518) = 1554

GCD(3, 518) = ( 3 x 518 ) / 1554

= 3 / 518

= 3

Step3:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

So, Greatest Common Divisor of 240, 507, 518, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 881, 811, 798
• GCD of 131, 631, 553, 778
• GCD of 161, 804, 803, 847
• GCD of 687, 913, 932, 104
• GCD of 660, 387, 369, 156

Given numbers are 240, 507, 518, 448
The greatest common divisor of numbers 240, 507, 518, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 507, 518, 448 is 1.

1. What is the GCD of 240, 507, 518, 448?

GCD of given numbers 240, 507, 518, 448 is 1

2. How to calculate the greatest common divisor of 240, 507, 518, 448?

We can find the highest common divisor of 240, 507, 518, 448 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, 507, 518, 448 i.e 1.

3. How can I use the GCD of 240, 507, 518, 448Calculator?

Out the numbers 240, 507, 518, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.