GCD of 35, 721, 826, 757 Calculator

Given Input numbers are 35, 721, 826, 757

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 35, 721, 826, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 721, 826, 757 is 1.

Therefore, GCD of numbers 35, 721, 826, 757 is 1

Given Input Data is 35, 721, 826, 757

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 721 is 7 x 103

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 757 is 757

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(35, 721) = 3605

GCD(35, 721) = ( 35 x 721 ) / 3605

GCD(35, 721) = 25235 / 3605

GCD(35, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 826

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

LCM(7, 826) = 826

GCD(7, 826) = ( 7 x 826 ) / 826

GCD(7, 826) = 5782 / 826

GCD(7, 826) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 757

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

LCM(7, 757) = 5299

GCD(7, 757) = ( 7 x 757 ) / 5299

GCD(7, 757) = 5299 / 5299

GCD(7, 757) = 1

GCD of 35, 721, 826, 757 is 1

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1. What is the GCD of 35, 721, 826, 757?

GCD of 35, 721, 826, 757 is 1

2. Where do I get the detailed procedure to find GCD of 35, 721, 826, 757?

You can find a detailed procedure to find GCD of 35, 721, 826, 757 on our page.

3. How to find GCD of 35, 721, 826, 757 on a calculator?

You can find the GCD of 35, 721, 826, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.