GCD of 312, 721, 161, 120 Calculator

Given Input numbers are 312, 721, 161, 120

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 161

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

1, 7, 23, 161

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

Greatest Common Divisior

We found the divisors of 312, 721, 161, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 721, 161, 120 is 1.

Therefore, GCD of numbers 312, 721, 161, 120 is 1

Given Input Data is 312, 721, 161, 120

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 721 is 7 x 103

Prime Factorization of 161 is 7 x 23

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

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(312, 721) = 224952

GCD(312, 721) = ( 312 x 721 ) / 224952

GCD(312, 721) = 224952 / 224952

GCD(312, 721) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 312, 721, 161, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 951, 865, 384
• GCD of 606, 910, 161, 534
• GCD of 661, 616, 886, 845
• GCD of 248, 171, 340, 274
• GCD of 704, 390, 118, 720

1. What is the GCD of 312, 721, 161, 120?

GCD of 312, 721, 161, 120 is 1

2. Where do I get the detailed procedure to find GCD of 312, 721, 161, 120?

You can find a detailed procedure to find GCD of 312, 721, 161, 120 on our page.

3. How to find GCD of 312, 721, 161, 120 on a calculator?

You can find the GCD of 312, 721, 161, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.