GCD of 916, 670, 559, 142 Calculator

Given Input numbers are 916, 670, 559, 142

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 142

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

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 916, 670, 559, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 670, 559, 142 is 1.

Therefore, GCD of numbers 916, 670, 559, 142 is 1

Given Input Data is 916, 670, 559, 142

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 559 is 13 x 43

Prime Factorization of 142 is 2 x 71

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(916, 670) = 306860

GCD(916, 670) = ( 916 x 670 ) / 306860

GCD(916, 670) = 613720 / 306860

GCD(916, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

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

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 916, 670, 559, 142 is 1

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1. What is the GCD of 916, 670, 559, 142?

GCD of 916, 670, 559, 142 is 1

2. Where do I get the detailed procedure to find GCD of 916, 670, 559, 142?

You can find a detailed procedure to find GCD of 916, 670, 559, 142 on our page.

3. How to find GCD of 916, 670, 559, 142 on a calculator?

You can find the GCD of 916, 670, 559, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.