GCD of 424, 718, 720, 510 Calculator

Given Input numbers are 424, 718, 720, 510

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

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 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (424, 718, 720, 510) = 2.

Given numbers are 424, 718, 720, 510

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 718 are 2 x 359

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

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 424, 718, 720, 510 is 2.

Given numbers are 424, 718, 720, 510

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

Apply this formula for all numbers.

Step1:

LCM(424, 718) = 152216

GCD(424, 718) = ( 424 x 718 ) / 152216

= 424 / 718

= 424

Step2:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

Step3:

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

= 2 / 510

= 2

So, Greatest Common Divisor of 424, 718, 720, 510 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 775, 859, 112
• GCD of 909, 893, 490, 199
• GCD of 157, 291, 766, 381
• GCD of 562, 365, 244, 586
• GCD of 226, 662, 488, 350

Given numbers are 424, 718, 720, 510
The greatest common divisor of numbers 424, 718, 720, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 718, 720, 510 is 2.

1. What is the GCD of 424, 718, 720, 510?

GCD of given numbers 424, 718, 720, 510 is 2

2. How to calculate the greatest common divisor of 424, 718, 720, 510?

We can find the highest common divisor of 424, 718, 720, 510 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 424, 718, 720, 510 i.e 2.

3. How can I use the GCD of 424, 718, 720, 510Calculator?

Out the numbers 424, 718, 720, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.