GCD of 709, 305, 25, 991 Calculator

Given Input numbers are 709, 305, 25, 991

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 709, 305, 25, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 305, 25, 991 is 1.

Therefore, GCD of numbers 709, 305, 25, 991 is 1

Given Input Data is 709, 305, 25, 991

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

Prime Factorization of 709 is 709

Prime Factorization of 305 is 5 x 61

Prime Factorization of 25 is 5 x 5

Prime Factorization of 991 is 991

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(709, 305) = 216245

GCD(709, 305) = ( 709 x 305 ) / 216245

GCD(709, 305) = 216245 / 216245

GCD(709, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 709, 305, 25, 991 is 1

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• GCD of 852, 228, 94, 164
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1. What is the GCD of 709, 305, 25, 991?

GCD of 709, 305, 25, 991 is 1

2. Where do I get the detailed procedure to find GCD of 709, 305, 25, 991?

You can find a detailed procedure to find GCD of 709, 305, 25, 991 on our page.

3. How to find GCD of 709, 305, 25, 991 on a calculator?

You can find the GCD of 709, 305, 25, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.