GCD of 106, 860, 157, 550 Calculator

Given Input numbers are 106, 860, 157, 550

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 106, 860, 157, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 860, 157, 550 is 1.

Therefore, GCD of numbers 106, 860, 157, 550 is 1

Given Input Data is 106, 860, 157, 550

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 157 is 157

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(106, 860) = 45580

GCD(106, 860) = ( 106 x 860 ) / 45580

GCD(106, 860) = 91160 / 45580

GCD(106, 860) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 157

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

LCM(2, 157) = 314

GCD(2, 157) = ( 2 x 157 ) / 314

GCD(2, 157) = 314 / 314

GCD(2, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 106, 860, 157, 550 is 1

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1. What is the GCD of 106, 860, 157, 550?

GCD of 106, 860, 157, 550 is 1

2. Where do I get the detailed procedure to find GCD of 106, 860, 157, 550?

You can find a detailed procedure to find GCD of 106, 860, 157, 550 on our page.

3. How to find GCD of 106, 860, 157, 550 on a calculator?

You can find the GCD of 106, 860, 157, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.