GCD of 630, 720, 38, 493 Calculator

Given Input numbers are 630, 720, 38, 493

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

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

GCD of numbers is the greatest common divisor

So, the GCD (630, 720, 38, 493) = 1.

Given numbers are 630, 720, 38, 493

The list of prime factors of all numbers are

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

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

Prime factors of 38 are 2 x 19

Prime factors of 493 are 17 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 630, 720, 38, 493

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

Apply this formula for all numbers.

Step1:

LCM(630, 720) = 5040

GCD(630, 720) = ( 630 x 720 ) / 5040

= 630 / 720

= 630

Step2:

LCM(90, 38) = 1710

GCD(90, 38) = ( 90 x 38 ) / 1710

= 90 / 38

= 90

Step3:

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

= 2 / 493

= 2

So, Greatest Common Divisor of 630, 720, 38, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 271, 40, 943
• GCD of 134, 362, 80, 155
• GCD of 394, 976, 95, 192
• GCD of 701, 989, 24, 283
• GCD of 493, 302, 83, 336

Given numbers are 630, 720, 38, 493
The greatest common divisor of numbers 630, 720, 38, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 720, 38, 493 is 1.

1. What is the GCD of 630, 720, 38, 493?

GCD of given numbers 630, 720, 38, 493 is 1

2. How to calculate the greatest common divisor of 630, 720, 38, 493?

We can find the highest common divisor of 630, 720, 38, 493 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 630, 720, 38, 493 i.e 1.

3. How can I use the GCD of 630, 720, 38, 493Calculator?

Out the numbers 630, 720, 38, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.