GCD of 894, 883, 35, 749 Calculator

Given Input numbers are 894, 883, 35, 749

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Divisors of 35

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

1, 5, 7, 35

Divisors of 749

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

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 894, 883, 35, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 883, 35, 749 is 1.

Therefore, GCD of numbers 894, 883, 35, 749 is 1

Given Input Data is 894, 883, 35, 749

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 883 is 883

Prime Factorization of 35 is 5 x 7

Prime Factorization of 749 is 7 x 107

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(894, 883) = 789402

GCD(894, 883) = ( 894 x 883 ) / 789402

GCD(894, 883) = 789402 / 789402

GCD(894, 883) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 894, 883, 35, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 801, 54, 135
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• GCD of 909, 355, 82, 118

1. What is the GCD of 894, 883, 35, 749?

GCD of 894, 883, 35, 749 is 1

2. Where do I get the detailed procedure to find GCD of 894, 883, 35, 749?

You can find a detailed procedure to find GCD of 894, 883, 35, 749 on our page.

3. How to find GCD of 894, 883, 35, 749 on a calculator?

You can find the GCD of 894, 883, 35, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.