GCD of 101, 725, 428, 991 Calculator

Given Input numbers are 101, 725, 428, 991

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 101, 725, 428, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 725, 428, 991 is 1.

Therefore, GCD of numbers 101, 725, 428, 991 is 1

Given Input Data is 101, 725, 428, 991

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

Prime Factorization of 101 is 101

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 428 is 2 x 2 x 107

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(101, 725) = 73225

GCD(101, 725) = ( 101 x 725 ) / 73225

GCD(101, 725) = 73225 / 73225

GCD(101, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 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 101, 725, 428, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 326, 236, 888
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• GCD of 216, 990, 163, 868

1. What is the GCD of 101, 725, 428, 991?

GCD of 101, 725, 428, 991 is 1

2. Where do I get the detailed procedure to find GCD of 101, 725, 428, 991?

You can find a detailed procedure to find GCD of 101, 725, 428, 991 on our page.

3. How to find GCD of 101, 725, 428, 991 on a calculator?

You can find the GCD of 101, 725, 428, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.