GCD of 410, 646, 628, 720 Calculator

Given Input numbers are 410, 646, 628, 720

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

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

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 (410, 646, 628, 720) = 2.

Given numbers are 410, 646, 628, 720

The list of prime factors of all numbers are

Prime factors of 410 are 2 x 5 x 41

Prime factors of 646 are 2 x 17 x 19

Prime factors of 628 are 2 x 2 x 157

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 410, 646, 628, 720 is 2.

Given numbers are 410, 646, 628, 720

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

Apply this formula for all numbers.

Step1:

LCM(410, 646) = 132430

GCD(410, 646) = ( 410 x 646 ) / 132430

= 410 / 646

= 410

Step2:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

Step3:

LCM(2, 720) = 720

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

= 2 / 720

= 2

So, Greatest Common Divisor of 410, 646, 628, 720 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 497, 138, 628
• GCD of 927, 754, 690, 183
• GCD of 137, 258, 518, 181
• GCD of 965, 109, 192, 846
• GCD of 981, 142, 791, 566

Given numbers are 410, 646, 628, 720
The greatest common divisor of numbers 410, 646, 628, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 410, 646, 628, 720 is 2.

1. What is the GCD of 410, 646, 628, 720?

GCD of given numbers 410, 646, 628, 720 is 2

2. How to calculate the greatest common divisor of 410, 646, 628, 720?

We can find the highest common divisor of 410, 646, 628, 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 410, 646, 628, 720 i.e 2.

3. How can I use the GCD of 410, 646, 628, 720Calculator?

Out the numbers 410, 646, 628, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.