GCD of 338, 523, 629, 112 Calculator

Given Input numbers are 338, 523, 629, 112

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (338, 523, 629, 112) = 1.

Given numbers are 338, 523, 629, 112

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 523 are 523

Prime factors of 629 are 17 x 37

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 338, 523, 629, 112

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

Apply this formula for all numbers.

Step1:

LCM(338, 523) = 176774

GCD(338, 523) = ( 338 x 523 ) / 176774

= 338 / 523

= 338

Step2:

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

= 1 / 629

= 1

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 338, 523, 629, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 514, 833, 391
• GCD of 208, 447, 869, 503
• GCD of 412, 490, 100, 164
• GCD of 910, 668, 642, 436
• GCD of 527, 516, 352, 112

Given numbers are 338, 523, 629, 112
The greatest common divisor of numbers 338, 523, 629, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 523, 629, 112 is 1.

1. What is the GCD of 338, 523, 629, 112?

GCD of given numbers 338, 523, 629, 112 is 1

2. How to calculate the greatest common divisor of 338, 523, 629, 112?

We can find the highest common divisor of 338, 523, 629, 112 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 338, 523, 629, 112 i.e 1.

3. How can I use the GCD of 338, 523, 629, 112Calculator?

Out the numbers 338, 523, 629, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.