GCD of 350, 292, 547, 161 Calculator

Given Input numbers are 350, 292, 547, 161

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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

Greatest Common Divisior

We found the divisors of 350, 292, 547, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 292, 547, 161 is 1.

Therefore, GCD of numbers 350, 292, 547, 161 is 1

Given Input Data is 350, 292, 547, 161

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 547 is 547

Prime Factorization of 161 is 7 x 23

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(350, 292) = 51100

GCD(350, 292) = ( 350 x 292 ) / 51100

GCD(350, 292) = 102200 / 51100

GCD(350, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 547

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

LCM(2, 547) = 1094

GCD(2, 547) = ( 2 x 547 ) / 1094

GCD(2, 547) = 1094 / 1094

GCD(2, 547) = 1

Step3:

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

GCD of 350, 292, 547, 161 is 1

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1. What is the GCD of 350, 292, 547, 161?

GCD of 350, 292, 547, 161 is 1

2. Where do I get the detailed procedure to find GCD of 350, 292, 547, 161?

You can find a detailed procedure to find GCD of 350, 292, 547, 161 on our page.

3. How to find GCD of 350, 292, 547, 161 on a calculator?

You can find the GCD of 350, 292, 547, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.