GCD of 101, 273, 60, 850 Calculator

Given Input numbers are 101, 273, 60, 850

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 101, 273, 60, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 273, 60, 850 is 1.

Therefore, GCD of numbers 101, 273, 60, 850 is 1

Given Input Data is 101, 273, 60, 850

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

Prime Factorization of 101 is 101

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(101, 273) = 27573

GCD(101, 273) = ( 101 x 273 ) / 27573

GCD(101, 273) = 27573 / 27573

GCD(101, 273) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 101, 273, 60, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 806, 14, 142
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• GCD of 113, 784, 74, 980

1. What is the GCD of 101, 273, 60, 850?

GCD of 101, 273, 60, 850 is 1

2. Where do I get the detailed procedure to find GCD of 101, 273, 60, 850?

You can find a detailed procedure to find GCD of 101, 273, 60, 850 on our page.

3. How to find GCD of 101, 273, 60, 850 on a calculator?

You can find the GCD of 101, 273, 60, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.