GCD of 109, 942, 201, 850 Calculator

Given Input numbers are 109, 942, 201, 850

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

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 109, 942, 201, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 942, 201, 850 is 1.

Therefore, GCD of numbers 109, 942, 201, 850 is 1

Given Input Data is 109, 942, 201, 850

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

Prime Factorization of 109 is 109

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 201 is 3 x 67

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(109, 942) = 102678

GCD(109, 942) = ( 109 x 942 ) / 102678

GCD(109, 942) = 102678 / 102678

GCD(109, 942) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 201

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

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

GCD(1, 201) = 201 / 201

GCD(1, 201) = 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 109, 942, 201, 850 is 1

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1. What is the GCD of 109, 942, 201, 850?

GCD of 109, 942, 201, 850 is 1

2. Where do I get the detailed procedure to find GCD of 109, 942, 201, 850?

You can find a detailed procedure to find GCD of 109, 942, 201, 850 on our page.

3. How to find GCD of 109, 942, 201, 850 on a calculator?

You can find the GCD of 109, 942, 201, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.