GCD of 112, 394, 723, 920 Calculator

Given Input numbers are 112, 394, 723, 920

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 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (112, 394, 723, 920) = 1.

Given numbers are 112, 394, 723, 920

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 394 are 2 x 197

Prime factors of 723 are 3 x 241

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 112, 394, 723, 920

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

Apply this formula for all numbers.

Step1:

LCM(112, 394) = 22064

GCD(112, 394) = ( 112 x 394 ) / 22064

= 112 / 394

= 112

Step2:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 112, 394, 723, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 816, 199, 388
• GCD of 537, 114, 924, 741
• GCD of 907, 669, 403, 747
• GCD of 981, 274, 587, 530
• GCD of 214, 887, 970, 123

Given numbers are 112, 394, 723, 920
The greatest common divisor of numbers 112, 394, 723, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 394, 723, 920 is 1.

1. What is the GCD of 112, 394, 723, 920?

GCD of given numbers 112, 394, 723, 920 is 1

2. How to calculate the greatest common divisor of 112, 394, 723, 920?

We can find the highest common divisor of 112, 394, 723, 920 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, 394, 723, 920 i.e 1.

3. How can I use the GCD of 112, 394, 723, 920Calculator?

Out the numbers 112, 394, 723, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.