GCD of 695, 849, 61, 253 Calculator

Given Input numbers are 695, 849, 61, 253

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

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 849

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

1, 3, 283, 849

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 695, 849, 61, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 849, 61, 253 is 1.

Therefore, GCD of numbers 695, 849, 61, 253 is 1

Given Input Data is 695, 849, 61, 253

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 849 is 3 x 283

Prime Factorization of 61 is 61

Prime Factorization of 253 is 11 x 23

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(695, 849) = 590055

GCD(695, 849) = ( 695 x 849 ) / 590055

GCD(695, 849) = 590055 / 590055

GCD(695, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 695, 849, 61, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 391, 13, 221
• GCD of 609, 464, 27, 120
• GCD of 779, 278, 71, 244
• GCD of 632, 660, 79, 665
• GCD of 228, 240, 23, 660

1. What is the GCD of 695, 849, 61, 253?

GCD of 695, 849, 61, 253 is 1

2. Where do I get the detailed procedure to find GCD of 695, 849, 61, 253?

You can find a detailed procedure to find GCD of 695, 849, 61, 253 on our page.

3. How to find GCD of 695, 849, 61, 253 on a calculator?

You can find the GCD of 695, 849, 61, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.