GCD of 720, 628, 382, 748 Calculator

Given Input numbers are 720, 628, 382, 748

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 628 :

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

1, 2, 4, 157, 314, 628

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (720, 628, 382, 748) = 2.

Given numbers are 720, 628, 382, 748

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 628 are 2 x 2 x 157

Prime factors of 382 are 2 x 191

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 720, 628, 382, 748 is 2.

Given numbers are 720, 628, 382, 748

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

Apply this formula for all numbers.

Step1:

LCM(720, 628) = 113040

GCD(720, 628) = ( 720 x 628 ) / 113040

= 720 / 628

= 720

Step2:

LCM(4, 382) = 764

GCD(4, 382) = ( 4 x 382 ) / 764

= 4 / 382

= 4

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 720, 628, 382, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 704, 821, 175
• GCD of 433, 351, 804, 539
• GCD of 145, 181, 927, 234
• GCD of 589, 243, 902, 153
• GCD of 858, 752, 440, 666

Given numbers are 720, 628, 382, 748
The greatest common divisor of numbers 720, 628, 382, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 628, 382, 748 is 2.

1. What is the GCD of 720, 628, 382, 748?

GCD of given numbers 720, 628, 382, 748 is 2

2. How to calculate the greatest common divisor of 720, 628, 382, 748?

We can find the highest common divisor of 720, 628, 382, 748 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, 628, 382, 748 i.e 2.

3. How can I use the GCD of 720, 628, 382, 748Calculator?

Out the numbers 720, 628, 382, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.