GCD of 844, 608, 142, 338 Calculator

Given Input numbers are 844, 608, 142, 338

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

Divisors of 844 :

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

1, 2, 4, 211, 422, 844

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (844, 608, 142, 338) = 2.

Given numbers are 844, 608, 142, 338

The list of prime factors of all numbers are

Prime factors of 844 are 2 x 2 x 211

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 142 are 2 x 71

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 844, 608, 142, 338 is 2.

Given numbers are 844, 608, 142, 338

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

Apply this formula for all numbers.

Step1:

LCM(844, 608) = 128288

GCD(844, 608) = ( 844 x 608 ) / 128288

= 844 / 608

= 844

Step2:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 844, 608, 142, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 374, 720, 851
• GCD of 649, 565, 508, 866
• GCD of 391, 194, 548, 455
• GCD of 484, 298, 950, 676
• GCD of 464, 179, 939, 170

Given numbers are 844, 608, 142, 338
The greatest common divisor of numbers 844, 608, 142, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 608, 142, 338 is 2.

1. What is the GCD of 844, 608, 142, 338?

GCD of given numbers 844, 608, 142, 338 is 2

2. How to calculate the greatest common divisor of 844, 608, 142, 338?

We can find the highest common divisor of 844, 608, 142, 338 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 844, 608, 142, 338 i.e 2.

3. How can I use the GCD of 844, 608, 142, 338Calculator?

Out the numbers 844, 608, 142, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.