GCD of 151, 722, 796, 105 Calculator

Given Input numbers are 151, 722, 796, 105

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

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 151, 722, 796, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 151, 722, 796, 105 is 1.

Therefore, GCD of numbers 151, 722, 796, 105 is 1

Given Input Data is 151, 722, 796, 105

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

Prime Factorization of 151 is 151

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 105 is 3 x 5 x 7

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(151, 722) = 109022

GCD(151, 722) = ( 151 x 722 ) / 109022

GCD(151, 722) = 109022 / 109022

GCD(151, 722) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 151, 722, 796, 105 is 1

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1. What is the GCD of 151, 722, 796, 105?

GCD of 151, 722, 796, 105 is 1

2. Where do I get the detailed procedure to find GCD of 151, 722, 796, 105?

You can find a detailed procedure to find GCD of 151, 722, 796, 105 on our page.

3. How to find GCD of 151, 722, 796, 105 on a calculator?

You can find the GCD of 151, 722, 796, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.