GCD of 112, 370, 588, 523 Calculator

Given Input numbers are 112, 370, 588, 523

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

Divisors of 112 :

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

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 523 :

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

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (112, 370, 588, 523) = 1.

Given numbers are 112, 370, 588, 523

The list of prime factors of all numbers are

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

Prime factors of 370 are 2 x 5 x 37

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 523 are 523

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

Given numbers are 112, 370, 588, 523

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

Apply this formula for all numbers.

Step1:

LCM(112, 370) = 20720

GCD(112, 370) = ( 112 x 370 ) / 20720

= 112 / 370

= 112

Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

Step3:

LCM(2, 523) = 1046

GCD(2, 523) = ( 2 x 523 ) / 1046

= 2 / 523

= 2

So, Greatest Common Divisor of 112, 370, 588, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 162, 673, 776
• GCD of 809, 299, 901, 513
• GCD of 950, 772, 775, 783
• GCD of 180, 684, 769, 353
• GCD of 293, 935, 397, 339

Given numbers are 112, 370, 588, 523
The greatest common divisor of numbers 112, 370, 588, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 370, 588, 523 is 1.

1. What is the GCD of 112, 370, 588, 523?

GCD of given numbers 112, 370, 588, 523 is 1

2. How to calculate the greatest common divisor of 112, 370, 588, 523?

We can find the highest common divisor of 112, 370, 588, 523 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 112, 370, 588, 523 i.e 1.

3. How can I use the GCD of 112, 370, 588, 523Calculator?

Out the numbers 112, 370, 588, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.