GCD of 240, 764, 15, 438 Calculator

Given Input numbers are 240, 764, 15, 438

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (240, 764, 15, 438) = 1.

Given numbers are 240, 764, 15, 438

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 764 are 2 x 2 x 191

Prime factors of 15 are 3 x 5

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 240, 764, 15, 438

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

Apply this formula for all numbers.

Step1:

LCM(240, 764) = 45840

GCD(240, 764) = ( 240 x 764 ) / 45840

= 240 / 764

= 240

Step2:

LCM(4, 15) = 60

GCD(4, 15) = ( 4 x 15 ) / 60

= 4 / 15

= 4

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 240, 764, 15, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 977, 85, 949
• GCD of 722, 327, 85, 816
• GCD of 365, 160, 21, 657
• GCD of 641, 326, 75, 492
• GCD of 973, 812, 28, 451

Given numbers are 240, 764, 15, 438
The greatest common divisor of numbers 240, 764, 15, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 764, 15, 438 is 1.

1. What is the GCD of 240, 764, 15, 438?

GCD of given numbers 240, 764, 15, 438 is 1

2. How to calculate the greatest common divisor of 240, 764, 15, 438?

We can find the highest common divisor of 240, 764, 15, 438 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, 764, 15, 438 i.e 1.

3. How can I use the GCD of 240, 764, 15, 438Calculator?

Out the numbers 240, 764, 15, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.