GCD of 722, 120, 108, 160 Calculator

Given Input numbers are 722, 120, 108, 160

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

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 722, 120, 108, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 120, 108, 160 is 2.

Therefore, GCD of numbers 722, 120, 108, 160 is 2

Given Input Data is 722, 120, 108, 160

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(722, 120) = 43320

GCD(722, 120) = ( 722 x 120 ) / 43320

GCD(722, 120) = 86640 / 43320

GCD(722, 120) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

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

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

GCD of 722, 120, 108, 160 is 2

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1. What is the GCD of 722, 120, 108, 160?

GCD of 722, 120, 108, 160 is 2

2. Where do I get the detailed procedure to find GCD of 722, 120, 108, 160?

You can find a detailed procedure to find GCD of 722, 120, 108, 160 on our page.

3. How to find GCD of 722, 120, 108, 160 on a calculator?

You can find the GCD of 722, 120, 108, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.