GCD of 438, 371, 782, 209 Calculator

Given Input numbers are 438, 371, 782, 209

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

GCD of numbers is the greatest common divisor

So, the GCD (438, 371, 782, 209) = 1.

Given numbers are 438, 371, 782, 209

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 371 are 7 x 53

Prime factors of 782 are 2 x 17 x 23

Prime factors of 209 are 11 x 19

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

Given numbers are 438, 371, 782, 209

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

Apply this formula for all numbers.

Step1:

LCM(438, 371) = 162498

GCD(438, 371) = ( 438 x 371 ) / 162498

= 438 / 371

= 438

Step2:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1

Step3:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1

So, Greatest Common Divisor of 438, 371, 782, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 822, 593, 751
• GCD of 564, 477, 703, 667
• GCD of 765, 115, 285, 753
• GCD of 191, 540, 258, 735
• GCD of 998, 162, 760, 881

Given numbers are 438, 371, 782, 209
The greatest common divisor of numbers 438, 371, 782, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 371, 782, 209 is 1.

1. What is the GCD of 438, 371, 782, 209?

GCD of given numbers 438, 371, 782, 209 is 1

2. How to calculate the greatest common divisor of 438, 371, 782, 209?

We can find the highest common divisor of 438, 371, 782, 209 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 438, 371, 782, 209 i.e 1.

3. How can I use the GCD of 438, 371, 782, 209Calculator?

Out the numbers 438, 371, 782, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.