GCD of 344, 628, 844, 308 Calculator

Given Input numbers are 344, 628, 844, 308

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

Divisors of 344 :

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

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 844 :

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

1, 2, 4, 211, 422, 844

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (344, 628, 844, 308) = 4.

Given numbers are 344, 628, 844, 308

The list of prime factors of all numbers are

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

Prime factors of 628 are 2 x 2 x 157

Prime factors of 844 are 2 x 2 x 211

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2²

Therefore, GCD of 344, 628, 844, 308 is 4.

Given numbers are 344, 628, 844, 308

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

Apply this formula for all numbers.

Step1:

LCM(344, 628) = 54008

GCD(344, 628) = ( 344 x 628 ) / 54008

= 344 / 628

= 344

Step2:

LCM(4, 844) = 844

GCD(4, 844) = ( 4 x 844 ) / 844

= 4 / 844

= 4

Step3:

LCM(4, 308) = 308

GCD(4, 308) = ( 4 x 308 ) / 308

= 4 / 308

= 4

So, Greatest Common Divisor of 344, 628, 844, 308 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 104, 368, 783
• GCD of 141, 898, 985, 438
• GCD of 153, 600, 690, 453
• GCD of 345, 544, 740, 398
• GCD of 537, 843, 710, 958

Given numbers are 344, 628, 844, 308
The greatest common divisor of numbers 344, 628, 844, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 628, 844, 308 is 4.

1. What is the GCD of 344, 628, 844, 308?

GCD of given numbers 344, 628, 844, 308 is 4

2. How to calculate the greatest common divisor of 344, 628, 844, 308?

We can find the highest common divisor of 344, 628, 844, 308 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 344, 628, 844, 308 i.e 4.

3. How can I use the GCD of 344, 628, 844, 308Calculator?

Out the numbers 344, 628, 844, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.