GCD of 240, 361, 687, 464 Calculator

Given Input numbers are 240, 361, 687, 464

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 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (240, 361, 687, 464) = 1.

Given numbers are 240, 361, 687, 464

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 361 are 19 x 19

Prime factors of 687 are 3 x 229

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

Given numbers are 240, 361, 687, 464

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

Apply this formula for all numbers.

Step1:

LCM(240, 361) = 86640

GCD(240, 361) = ( 240 x 361 ) / 86640

= 240 / 361

= 240

Step2:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

Step3:

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

= 1 / 464

= 1

So, Greatest Common Divisor of 240, 361, 687, 464 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 773, 325, 734
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• GCD of 807, 366, 414, 594

Given numbers are 240, 361, 687, 464
The greatest common divisor of numbers 240, 361, 687, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 361, 687, 464 is 1.

1. What is the GCD of 240, 361, 687, 464?

GCD of given numbers 240, 361, 687, 464 is 1

2. How to calculate the greatest common divisor of 240, 361, 687, 464?

We can find the highest common divisor of 240, 361, 687, 464 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, 361, 687, 464 i.e 1.

3. How can I use the GCD of 240, 361, 687, 464Calculator?

Out the numbers 240, 361, 687, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.