GCD of 656, 844, 138, 830 Calculator

Given Input numbers are 656, 844, 138, 830

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

GCD of numbers is the greatest common divisor

So, the GCD (656, 844, 138, 830) = 2.

Given numbers are 656, 844, 138, 830

The list of prime factors of all numbers are

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 844 are 2 x 2 x 211

Prime factors of 138 are 2 x 3 x 23

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 2¹

Therefore, GCD of 656, 844, 138, 830 is 2.

Given numbers are 656, 844, 138, 830

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

Apply this formula for all numbers.

Step1:

LCM(656, 844) = 138416

GCD(656, 844) = ( 656 x 844 ) / 138416

= 656 / 844

= 656

Step2:

LCM(4, 138) = 276

GCD(4, 138) = ( 4 x 138 ) / 276

= 4 / 138

= 4

Step3:

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

= 2 / 830

= 2

So, Greatest Common Divisor of 656, 844, 138, 830 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 953, 146, 406
• GCD of 782, 531, 576, 187
• GCD of 278, 274, 243, 850
• GCD of 583, 390, 540, 298
• GCD of 538, 527, 734, 298

Given numbers are 656, 844, 138, 830
The greatest common divisor of numbers 656, 844, 138, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 844, 138, 830 is 2.

1. What is the GCD of 656, 844, 138, 830?

GCD of given numbers 656, 844, 138, 830 is 2

2. How to calculate the greatest common divisor of 656, 844, 138, 830?

We can find the highest common divisor of 656, 844, 138, 830 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 656, 844, 138, 830 i.e 2.

3. How can I use the GCD of 656, 844, 138, 830Calculator?

Out the numbers 656, 844, 138, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.