GCD of 731, 578, 472, 240 Calculator

Given Input numbers are 731, 578, 472, 240

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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

GCD of numbers is the greatest common divisor

So, the GCD (731, 578, 472, 240) = 1.

Given numbers are 731, 578, 472, 240

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 578 are 2 x 17 x 17

Prime factors of 472 are 2 x 2 x 2 x 59

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

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

Given numbers are 731, 578, 472, 240

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

Apply this formula for all numbers.

Step1:

LCM(731, 578) = 24854

GCD(731, 578) = ( 731 x 578 ) / 24854

= 731 / 578

= 731

Step2:

LCM(17, 472) = 8024

GCD(17, 472) = ( 17 x 472 ) / 8024

= 17 / 472

= 17

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 731, 578, 472, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 907, 887, 490
• GCD of 272, 447, 884, 123
• GCD of 968, 907, 641, 828
• GCD of 229, 969, 752, 313
• GCD of 592, 539, 450, 994

Given numbers are 731, 578, 472, 240
The greatest common divisor of numbers 731, 578, 472, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 578, 472, 240 is 1.

1. What is the GCD of 731, 578, 472, 240?

GCD of given numbers 731, 578, 472, 240 is 1

2. How to calculate the greatest common divisor of 731, 578, 472, 240?

We can find the highest common divisor of 731, 578, 472, 240 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 731, 578, 472, 240 i.e 1.

3. How can I use the GCD of 731, 578, 472, 240Calculator?

Out the numbers 731, 578, 472, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.