GCD of 989, 755, 436, 827 Calculator

Given Input numbers are 989, 755, 436, 827

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 989, 755, 436, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 755, 436, 827 is 1.

Therefore, GCD of numbers 989, 755, 436, 827 is 1

Given Input Data is 989, 755, 436, 827

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 755 is 5 x 151

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 827 is 827

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(989, 755) = 746695

GCD(989, 755) = ( 989 x 755 ) / 746695

GCD(989, 755) = 746695 / 746695

GCD(989, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 989, 755, 436, 827 is 1

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1. What is the GCD of 989, 755, 436, 827?

GCD of 989, 755, 436, 827 is 1

2. Where do I get the detailed procedure to find GCD of 989, 755, 436, 827?

You can find a detailed procedure to find GCD of 989, 755, 436, 827 on our page.

3. How to find GCD of 989, 755, 436, 827 on a calculator?

You can find the GCD of 989, 755, 436, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.