GCD of 738, 723, 214, 630 Calculator

Given Input numbers are 738, 723, 214, 630

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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

GCD of numbers is the greatest common divisor

So, the GCD (738, 723, 214, 630) = 1.

Given numbers are 738, 723, 214, 630

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 723 are 3 x 241

Prime factors of 214 are 2 x 107

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

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

Given numbers are 738, 723, 214, 630

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

Apply this formula for all numbers.

Step1:

LCM(738, 723) = 177858

GCD(738, 723) = ( 738 x 723 ) / 177858

= 738 / 723

= 738

Step2:

LCM(3, 214) = 642

GCD(3, 214) = ( 3 x 214 ) / 642

= 3 / 214

= 3

Step3:

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

= 1 / 630

= 1

So, Greatest Common Divisor of 738, 723, 214, 630 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 828, 115, 742
• GCD of 354, 760, 472, 768
• GCD of 146, 127, 147, 269
• GCD of 159, 100, 233, 890
• GCD of 283, 888, 386, 657

Given numbers are 738, 723, 214, 630
The greatest common divisor of numbers 738, 723, 214, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 723, 214, 630 is 1.

1. What is the GCD of 738, 723, 214, 630?

GCD of given numbers 738, 723, 214, 630 is 1

2. How to calculate the greatest common divisor of 738, 723, 214, 630?

We can find the highest common divisor of 738, 723, 214, 630 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 738, 723, 214, 630 i.e 1.

3. How can I use the GCD of 738, 723, 214, 630Calculator?

Out the numbers 738, 723, 214, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.