GCD of 826, 749, 71, 995 Calculator

Given Input numbers are 826, 749, 71, 995

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

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Greatest Common Divisior

We found the divisors of 826, 749, 71, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 749, 71, 995 is 1.

Therefore, GCD of numbers 826, 749, 71, 995 is 1

Given Input Data is 826, 749, 71, 995

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 749 is 7 x 107

Prime Factorization of 71 is 71

Prime Factorization of 995 is 5 x 199

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(826, 749) = 88382

GCD(826, 749) = ( 826 x 749 ) / 88382

GCD(826, 749) = 618674 / 88382

GCD(826, 749) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 71

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

LCM(7, 71) = 497

GCD(7, 71) = ( 7 x 71 ) / 497

GCD(7, 71) = 497 / 497

GCD(7, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 995

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

LCM(1, 995) = 995

GCD(1, 995) = ( 1 x 995 ) / 995

GCD(1, 995) = 995 / 995

GCD(1, 995) = 1

GCD of 826, 749, 71, 995 is 1

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1. What is the GCD of 826, 749, 71, 995?

GCD of 826, 749, 71, 995 is 1

2. Where do I get the detailed procedure to find GCD of 826, 749, 71, 995?

You can find a detailed procedure to find GCD of 826, 749, 71, 995 on our page.

3. How to find GCD of 826, 749, 71, 995 on a calculator?

You can find the GCD of 826, 749, 71, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.