GCD of 644, 343, 938, 819 Calculator

Given Input numbers are 644, 343, 938, 819

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

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

GCD of numbers is the greatest common divisor

So, the GCD (644, 343, 938, 819) = 7.

Given numbers are 644, 343, 938, 819

The list of prime factors of all numbers are

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 343 are 7 x 7 x 7

Prime factors of 938 are 2 x 7 x 67

Prime factors of 819 are 3 x 3 x 7 x 13

The highest common occurrence is 7¹

Therefore, GCD of 644, 343, 938, 819 is 7.

Given numbers are 644, 343, 938, 819

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

Apply this formula for all numbers.

Step1:

LCM(644, 343) = 31556

GCD(644, 343) = ( 644 x 343 ) / 31556

= 644 / 343

= 644

Step2:

LCM(7, 938) = 938

GCD(7, 938) = ( 7 x 938 ) / 938

= 7 / 938

= 7

Step3:

LCM(7, 819) = 819

GCD(7, 819) = ( 7 x 819 ) / 819

= 7 / 819

= 7

So, Greatest Common Divisor of 644, 343, 938, 819 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 990, 283, 489
• GCD of 234, 566, 472, 279
• GCD of 175, 633, 278, 215
• GCD of 262, 680, 587, 134
• GCD of 365, 950, 480, 366

Given numbers are 644, 343, 938, 819
The greatest common divisor of numbers 644, 343, 938, 819 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 343, 938, 819 is 7.

1. What is the GCD of 644, 343, 938, 819?

GCD of given numbers 644, 343, 938, 819 is 7

2. How to calculate the greatest common divisor of 644, 343, 938, 819?

We can find the highest common divisor of 644, 343, 938, 819 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 644, 343, 938, 819 i.e 7.

3. How can I use the GCD of 644, 343, 938, 819Calculator?

Out the numbers 644, 343, 938, 819 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.