GCD of 749, 308, 820, 895 Calculator

Given Input numbers are 749, 308, 820, 895

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

Divisors of 749

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

1, 7, 107, 749

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 749, 308, 820, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 308, 820, 895 is 1.

Therefore, GCD of numbers 749, 308, 820, 895 is 1

Given Input Data is 749, 308, 820, 895

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 895 is 5 x 179

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(749, 308) = 32956

GCD(749, 308) = ( 749 x 308 ) / 32956

GCD(749, 308) = 230692 / 32956

GCD(749, 308) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 820

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

LCM(7, 820) = 5740

GCD(7, 820) = ( 7 x 820 ) / 5740

GCD(7, 820) = 5740 / 5740

GCD(7, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 895

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

LCM(1, 895) = 895

GCD(1, 895) = ( 1 x 895 ) / 895

GCD(1, 895) = 895 / 895

GCD(1, 895) = 1

GCD of 749, 308, 820, 895 is 1

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1. What is the GCD of 749, 308, 820, 895?

GCD of 749, 308, 820, 895 is 1

2. Where do I get the detailed procedure to find GCD of 749, 308, 820, 895?

You can find a detailed procedure to find GCD of 749, 308, 820, 895 on our page.

3. How to find GCD of 749, 308, 820, 895 on a calculator?

You can find the GCD of 749, 308, 820, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.