GCD of 720, 264, 542, 240 Calculator

Given Input numbers are 720, 264, 542, 240

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

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 (720, 264, 542, 240) = 2.

Given numbers are 720, 264, 542, 240

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 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 542 are 2 x 271

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

The highest common occurrence is 2¹

Therefore, GCD of 720, 264, 542, 240 is 2.

Given numbers are 720, 264, 542, 240

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

Apply this formula for all numbers.

Step1:

LCM(720, 264) = 7920

GCD(720, 264) = ( 720 x 264 ) / 7920

= 720 / 264

= 720

Step2:

LCM(24, 542) = 6504

GCD(24, 542) = ( 24 x 542 ) / 6504

= 24 / 542

= 24

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 720, 264, 542, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 554, 554, 237
• GCD of 526, 266, 653, 828
• GCD of 326, 838, 133, 245
• GCD of 250, 929, 116, 907
• GCD of 975, 426, 181, 448

Given numbers are 720, 264, 542, 240
The greatest common divisor of numbers 720, 264, 542, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 264, 542, 240 is 2.

1. What is the GCD of 720, 264, 542, 240?

GCD of given numbers 720, 264, 542, 240 is 2

2. How to calculate the greatest common divisor of 720, 264, 542, 240?

We can find the highest common divisor of 720, 264, 542, 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 720, 264, 542, 240 i.e 2.

3. How can I use the GCD of 720, 264, 542, 240Calculator?

Out the numbers 720, 264, 542, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.