GCD of 676, 164, 412, 344 Calculator

Given Input numbers are 676, 164, 412, 344

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (676, 164, 412, 344) = 4.

Given numbers are 676, 164, 412, 344

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 164 are 2 x 2 x 41

Prime factors of 412 are 2 x 2 x 103

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 676, 164, 412, 344 is 4.

Given numbers are 676, 164, 412, 344

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

Apply this formula for all numbers.

Step1:

LCM(676, 164) = 27716

GCD(676, 164) = ( 676 x 164 ) / 27716

= 676 / 164

= 676

Step2:

LCM(4, 412) = 412

GCD(4, 412) = ( 4 x 412 ) / 412

= 4 / 412

= 4

Step3:

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

= 4 / 344

= 4

So, Greatest Common Divisor of 676, 164, 412, 344 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 647, 570, 198
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• GCD of 261, 617, 649, 489
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• GCD of 396, 294, 203, 372

Given numbers are 676, 164, 412, 344
The greatest common divisor of numbers 676, 164, 412, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 164, 412, 344 is 4.

1. What is the GCD of 676, 164, 412, 344?

GCD of given numbers 676, 164, 412, 344 is 4

2. How to calculate the greatest common divisor of 676, 164, 412, 344?

We can find the highest common divisor of 676, 164, 412, 344 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 676, 164, 412, 344 i.e 4.

3. How can I use the GCD of 676, 164, 412, 344Calculator?

Out the numbers 676, 164, 412, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.