GCD of 834, 190, 938, 702 Calculator

Given Input numbers are 834, 190, 938, 702

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 834, 190, 938, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 190, 938, 702 is 2.

Therefore, GCD of numbers 834, 190, 938, 702 is 2

Given Input Data is 834, 190, 938, 702

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(834, 190) = 79230

GCD(834, 190) = ( 834 x 190 ) / 79230

GCD(834, 190) = 158460 / 79230

GCD(834, 190) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 834, 190, 938, 702 is 2

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1. What is the GCD of 834, 190, 938, 702?

GCD of 834, 190, 938, 702 is 2

2. Where do I get the detailed procedure to find GCD of 834, 190, 938, 702?

You can find a detailed procedure to find GCD of 834, 190, 938, 702 on our page.

3. How to find GCD of 834, 190, 938, 702 on a calculator?

You can find the GCD of 834, 190, 938, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.