GCD of 849, 938, 708, 275 Calculator

Given Input numbers are 849, 938, 708, 275

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 849, 938, 708, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 938, 708, 275 is 1.

Therefore, GCD of numbers 849, 938, 708, 275 is 1

Given Input Data is 849, 938, 708, 275

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 275 is 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(849, 938) = 796362

GCD(849, 938) = ( 849 x 938 ) / 796362

GCD(849, 938) = 796362 / 796362

GCD(849, 938) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 849, 938, 708, 275 is 1

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1. What is the GCD of 849, 938, 708, 275?

GCD of 849, 938, 708, 275 is 1

2. Where do I get the detailed procedure to find GCD of 849, 938, 708, 275?

You can find a detailed procedure to find GCD of 849, 938, 708, 275 on our page.

3. How to find GCD of 849, 938, 708, 275 on a calculator?

You can find the GCD of 849, 938, 708, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.