GCD of 726, 622, 402, 720 Calculator

Given Input numbers are 726, 622, 402, 720

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

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

GCD of numbers is the greatest common divisor

So, the GCD (726, 622, 402, 720) = 2.

Given numbers are 726, 622, 402, 720

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 622 are 2 x 311

Prime factors of 402 are 2 x 3 x 67

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

The highest common occurrence is 2¹

Therefore, GCD of 726, 622, 402, 720 is 2.

Given numbers are 726, 622, 402, 720

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

Apply this formula for all numbers.

Step1:

LCM(726, 622) = 225786

GCD(726, 622) = ( 726 x 622 ) / 225786

= 726 / 622

= 726

Step2:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2

Step3:

LCM(2, 720) = 720

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

= 2 / 720

= 2

So, Greatest Common Divisor of 726, 622, 402, 720 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 740, 205, 317
• GCD of 328, 405, 403, 123
• GCD of 853, 250, 213, 352
• GCD of 852, 476, 515, 757
• GCD of 524, 602, 850, 129

Given numbers are 726, 622, 402, 720
The greatest common divisor of numbers 726, 622, 402, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 622, 402, 720 is 2.

1. What is the GCD of 726, 622, 402, 720?

GCD of given numbers 726, 622, 402, 720 is 2

2. How to calculate the greatest common divisor of 726, 622, 402, 720?

We can find the highest common divisor of 726, 622, 402, 720 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 726, 622, 402, 720 i.e 2.

3. How can I use the GCD of 726, 622, 402, 720Calculator?

Out the numbers 726, 622, 402, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.