GCD of 735, 163, 356, 989 Calculator

Given Input numbers are 735, 163, 356, 989

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 989

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

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 735, 163, 356, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 163, 356, 989 is 1.

Therefore, GCD of numbers 735, 163, 356, 989 is 1

Given Input Data is 735, 163, 356, 989

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 163 is 163

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 989 is 23 x 43

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(735, 163) = 119805

GCD(735, 163) = ( 735 x 163 ) / 119805

GCD(735, 163) = 119805 / 119805

GCD(735, 163) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 735, 163, 356, 989 is 1

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• GCD of 345, 931, 295, 130
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1. What is the GCD of 735, 163, 356, 989?

GCD of 735, 163, 356, 989 is 1

2. Where do I get the detailed procedure to find GCD of 735, 163, 356, 989?

You can find a detailed procedure to find GCD of 735, 163, 356, 989 on our page.

3. How to find GCD of 735, 163, 356, 989 on a calculator?

You can find the GCD of 735, 163, 356, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.