GCD of 120, 707, 44, 162 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 120, 707, 44, 162 i.e. 1 largest integer that divides all the numbers equally.

GCD of 120, 707, 44, 162 is 1

GCD(120, 707, 44, 162) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 120, 707, 44, 162 is 1

GCD(120, 707, 44, 162) = 1

GCD of 120,707,44,162 Calculator

GCDof 120,707,44,162 is 1

Given Input numbers are 120, 707, 44, 162

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

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 120, 707, 44, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 707, 44, 162 is 1.

Therefore, GCD of numbers 120, 707, 44, 162 is 1

Finding GCD of 120, 707, 44, 162 using Prime Factorization

Given Input Data is 120, 707, 44, 162

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

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 120, 707, 44, 162 using LCM Formula

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(120, 707) = 84840

GCD(120, 707) = ( 120 x 707 ) / 84840

GCD(120, 707) = 84840 / 84840

GCD(120, 707) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 120, 707, 44, 162 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 120, 707, 44, 162

1. What is the GCD of 120, 707, 44, 162?

GCD of 120, 707, 44, 162 is 1


2. Where do I get the detailed procedure to find GCD of 120, 707, 44, 162?

You can find a detailed procedure to find GCD of 120, 707, 44, 162 on our page.


3. How to find GCD of 120, 707, 44, 162 on a calculator?

You can find the GCD of 120, 707, 44, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.