GCD of 670, 112, 142, 185 Calculator

Given Input numbers are 670, 112, 142, 185

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

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 670, 112, 142, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 112, 142, 185 is 1.

Therefore, GCD of numbers 670, 112, 142, 185 is 1

Given Input Data is 670, 112, 142, 185

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

Prime Factorization of 670 is 2 x 5 x 67

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 185 is 5 x 37

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(670, 112) = 37520

GCD(670, 112) = ( 670 x 112 ) / 37520

GCD(670, 112) = 75040 / 37520

GCD(670, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 142

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

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

GCD(2, 142) = 284 / 142

GCD(2, 142) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

GCD of 670, 112, 142, 185 is 1

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1. What is the GCD of 670, 112, 142, 185?

GCD of 670, 112, 142, 185 is 1

2. Where do I get the detailed procedure to find GCD of 670, 112, 142, 185?

You can find a detailed procedure to find GCD of 670, 112, 142, 185 on our page.

3. How to find GCD of 670, 112, 142, 185 on a calculator?

You can find the GCD of 670, 112, 142, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.