GCD of 120, 731, 823, 949 Calculator

Given Input numbers are 120, 731, 823, 949

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 120, 731, 823, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 731, 823, 949 is 1.

Therefore, GCD of numbers 120, 731, 823, 949 is 1

Given Input Data is 120, 731, 823, 949

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 731 is 17 x 43

Prime Factorization of 823 is 823

Prime Factorization of 949 is 13 x 73

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(120, 731) = 87720

GCD(120, 731) = ( 120 x 731 ) / 87720

GCD(120, 731) = 87720 / 87720

GCD(120, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 120, 731, 823, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 679, 924, 906
• GCD of 868, 429, 510, 550
• GCD of 758, 842, 159, 546
• GCD of 223, 144, 946, 177
• GCD of 175, 192, 130, 549

1. What is the GCD of 120, 731, 823, 949?

GCD of 120, 731, 823, 949 is 1

2. Where do I get the detailed procedure to find GCD of 120, 731, 823, 949?

You can find a detailed procedure to find GCD of 120, 731, 823, 949 on our page.

3. How to find GCD of 120, 731, 823, 949 on a calculator?

You can find the GCD of 120, 731, 823, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.