GCD of 738, 190, 413, 213 Calculator

Given Input numbers are 738, 190, 413, 213

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 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (738, 190, 413, 213) = 1.

Given numbers are 738, 190, 413, 213

The list of prime factors of all numbers are

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

Prime factors of 190 are 2 x 5 x 19

Prime factors of 413 are 7 x 59

Prime factors of 213 are 3 x 71

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

Given numbers are 738, 190, 413, 213

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

Apply this formula for all numbers.

Step1:

LCM(738, 190) = 70110

GCD(738, 190) = ( 738 x 190 ) / 70110

= 738 / 190

= 738

Step2:

LCM(2, 413) = 826

GCD(2, 413) = ( 2 x 413 ) / 826

= 2 / 413

= 2

Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 738, 190, 413, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 535, 940, 889
• GCD of 317, 726, 652, 532
• GCD of 288, 427, 626, 408
• GCD of 441, 843, 118, 907
• GCD of 318, 584, 838, 612

Given numbers are 738, 190, 413, 213
The greatest common divisor of numbers 738, 190, 413, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 190, 413, 213 is 1.

1. What is the GCD of 738, 190, 413, 213?

GCD of given numbers 738, 190, 413, 213 is 1

2. How to calculate the greatest common divisor of 738, 190, 413, 213?

We can find the highest common divisor of 738, 190, 413, 213 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, 190, 413, 213 i.e 1.

3. How can I use the GCD of 738, 190, 413, 213Calculator?

Out the numbers 738, 190, 413, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.