GCD of 84, 547, 161, 735 Calculator

Given Input numbers are 84, 547, 161, 735

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

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

Greatest Common Divisior

We found the divisors of 84, 547, 161, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 547, 161, 735 is 1.

Therefore, GCD of numbers 84, 547, 161, 735 is 1

Given Input Data is 84, 547, 161, 735

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 547 is 547

Prime Factorization of 161 is 7 x 23

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

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(84, 547) = 45948

GCD(84, 547) = ( 84 x 547 ) / 45948

GCD(84, 547) = 45948 / 45948

GCD(84, 547) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 84, 547, 161, 735 is 1

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• GCD of 12, 181, 531, 328
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1. What is the GCD of 84, 547, 161, 735?

GCD of 84, 547, 161, 735 is 1

2. Where do I get the detailed procedure to find GCD of 84, 547, 161, 735?

You can find a detailed procedure to find GCD of 84, 547, 161, 735 on our page.

3. How to find GCD of 84, 547, 161, 735 on a calculator?

You can find the GCD of 84, 547, 161, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.