GCD of 680, 722, 535, 161 Calculator

Given Input numbers are 680, 722, 535, 161

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

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 680, 722, 535, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 722, 535, 161 is 1.

Therefore, GCD of numbers 680, 722, 535, 161 is 1

Given Input Data is 680, 722, 535, 161

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 535 is 5 x 107

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(680, 722) = 245480

GCD(680, 722) = ( 680 x 722 ) / 245480

GCD(680, 722) = 490960 / 245480

GCD(680, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 535

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

LCM(2, 535) = 1070

GCD(2, 535) = ( 2 x 535 ) / 1070

GCD(2, 535) = 1070 / 1070

GCD(2, 535) = 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 680, 722, 535, 161 is 1

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1. What is the GCD of 680, 722, 535, 161?

GCD of 680, 722, 535, 161 is 1

2. Where do I get the detailed procedure to find GCD of 680, 722, 535, 161?

You can find a detailed procedure to find GCD of 680, 722, 535, 161 on our page.

3. How to find GCD of 680, 722, 535, 161 on a calculator?

You can find the GCD of 680, 722, 535, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.