GCD of 464, 536, 240 Calculator

Given Input numbers are 464, 536, 240

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

Divisors of 464 :

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

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

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 (464, 536, 240) = 8.

Given numbers are 464, 536, 240

The list of prime factors of all numbers are

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

Prime factors of 536 are 2 x 2 x 2 x 67

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

The highest common occurrence is 2³

Therefore, GCD of 464, 536, 240 is 8.

Given numbers are 464, 536, 240

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

Apply this formula for all numbers.

Step1:

LCM(464, 536) = 31088

GCD(464, 536) = ( 464 x 536 ) / 31088

= 464 / 536

= 464

Step2:

LCM(8, 240) = 240

GCD(8, 240) = ( 8 x 240 ) / 240

= 8 / 240

= 8

So, Greatest Common Divisor of 464, 536, 240 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 315, 670
• GCD of 593, 489, 852
• GCD of 352, 622, 995
• GCD of 509, 935, 292
• GCD of 206, 786, 187

Given numbers are 464, 536, 240
The greatest common divisor of numbers 464, 536, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 536, 240 is 8.

1. What is the GCD of 464, 536, 240?

GCD of given numbers 464, 536, 240 is 8

2. How to calculate the greatest common divisor of 464, 536, 240?

We can find the highest common divisor of 464, 536, 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 464, 536, 240 i.e 8.

3. How can I use the GCD of 464, 536, 240Calculator?

Out the numbers 464, 536, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.