GCD of 161, 217, 35, 504 Calculator

Given Input numbers are 161, 217, 35, 504

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

Divisors of 161

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

1, 7, 23, 161

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 35

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

1, 5, 7, 35

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 161, 217, 35, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 217, 35, 504 is 7.

Therefore, GCD of numbers 161, 217, 35, 504 is 7

Given Input Data is 161, 217, 35, 504

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

Prime Factorization of 161 is 7 x 23

Prime Factorization of 217 is 7 x 31

Prime Factorization of 35 is 5 x 7

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(161, 217) = 4991

GCD(161, 217) = ( 161 x 217 ) / 4991

GCD(161, 217) = 34937 / 4991

GCD(161, 217) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 35

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

LCM(7, 35) = 35

GCD(7, 35) = ( 7 x 35 ) / 35

GCD(7, 35) = 245 / 35

GCD(7, 35) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 504

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

LCM(7, 504) = 504

GCD(7, 504) = ( 7 x 504 ) / 504

GCD(7, 504) = 3528 / 504

GCD(7, 504) = 7

GCD of 161, 217, 35, 504 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 148, 83, 917
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• GCD of 882, 582, 87, 317

1. What is the GCD of 161, 217, 35, 504?

GCD of 161, 217, 35, 504 is 7

2. Where do I get the detailed procedure to find GCD of 161, 217, 35, 504?

You can find a detailed procedure to find GCD of 161, 217, 35, 504 on our page.

3. How to find GCD of 161, 217, 35, 504 on a calculator?

You can find the GCD of 161, 217, 35, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.