GCD of 437, 362, 890, 112 Calculator

Given Input numbers are 437, 362, 890, 112

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

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

Greatest Common Divisior

We found the divisors of 437, 362, 890, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 362, 890, 112 is 1.

Therefore, GCD of numbers 437, 362, 890, 112 is 1

Given Input Data is 437, 362, 890, 112

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 437 is 19 x 23

Prime Factorization of 362 is 2 x 181

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(437, 362) = 158194

GCD(437, 362) = ( 437 x 362 ) / 158194

GCD(437, 362) = 158194 / 158194

GCD(437, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

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

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 437, 362, 890, 112 is 1

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1. What is the GCD of 437, 362, 890, 112?

GCD of 437, 362, 890, 112 is 1

2. Where do I get the detailed procedure to find GCD of 437, 362, 890, 112?

You can find a detailed procedure to find GCD of 437, 362, 890, 112 on our page.

3. How to find GCD of 437, 362, 890, 112 on a calculator?

You can find the GCD of 437, 362, 890, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.