GCD of 838, 644, 106, 182 Calculator

Given Input numbers are 838, 644, 106, 182

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

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 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (838, 644, 106, 182) = 2.

Given numbers are 838, 644, 106, 182

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

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

Prime factors of 106 are 2 x 53

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 838, 644, 106, 182 is 2.

Given numbers are 838, 644, 106, 182

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

Apply this formula for all numbers.

Step1:

LCM(838, 644) = 269836

GCD(838, 644) = ( 838 x 644 ) / 269836

= 838 / 644

= 838

Step2:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

Step3:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

So, Greatest Common Divisor of 838, 644, 106, 182 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 678, 371, 822
• GCD of 778, 359, 469, 803
• GCD of 396, 324, 885, 960
• GCD of 388, 644, 738, 745
• GCD of 753, 301, 634, 992

Given numbers are 838, 644, 106, 182
The greatest common divisor of numbers 838, 644, 106, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 644, 106, 182 is 2.

1. What is the GCD of 838, 644, 106, 182?

GCD of given numbers 838, 644, 106, 182 is 2

2. How to calculate the greatest common divisor of 838, 644, 106, 182?

We can find the highest common divisor of 838, 644, 106, 182 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 838, 644, 106, 182 i.e 2.

3. How can I use the GCD of 838, 644, 106, 182Calculator?

Out the numbers 838, 644, 106, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.