GCD of 720, 240, 960 Calculator

Given Input numbers are 720, 240, 960

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (720, 240, 960) = 240.

Given numbers are 720, 240, 960

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2⁴ x 3¹ x 5¹

Therefore, GCD of 720, 240, 960 is 240.

Given numbers are 720, 240, 960

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

Apply this formula for all numbers.

Step1:

LCM(720, 240) = 720

GCD(720, 240) = ( 720 x 240 ) / 720

= 720 / 240

= 720

Step2:

LCM(240, 960) = 960

GCD(240, 960) = ( 240 x 960 ) / 960

= 240 / 960

= 240

So, Greatest Common Divisor of 720, 240, 960 is 240

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 821, 147
• GCD of 445, 678, 803
• GCD of 802, 298, 433
• GCD of 799, 612, 470
• GCD of 240, 486, 525

Given numbers are 720, 240, 960
The greatest common divisor of numbers 720, 240, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 240, 960 is 240.

1. What is the GCD of 720, 240, 960?

GCD of given numbers 720, 240, 960 is 240

2. How to calculate the greatest common divisor of 720, 240, 960?

We can find the highest common divisor of 720, 240, 960 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 720, 240, 960 i.e 240.

3. How can I use the GCD of 720, 240, 960Calculator?

Out the numbers 720, 240, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.