GCD of 748, 120, 171, 827 Calculator

Given Input numbers are 748, 120, 171, 827

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 748, 120, 171, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 120, 171, 827 is 1.

Therefore, GCD of numbers 748, 120, 171, 827 is 1

Given Input Data is 748, 120, 171, 827

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 827 is 827

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(748, 120) = 22440

GCD(748, 120) = ( 748 x 120 ) / 22440

GCD(748, 120) = 89760 / 22440

GCD(748, 120) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 171

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

LCM(4, 171) = 684

GCD(4, 171) = ( 4 x 171 ) / 684

GCD(4, 171) = 684 / 684

GCD(4, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 748, 120, 171, 827 is 1

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1. What is the GCD of 748, 120, 171, 827?

GCD of 748, 120, 171, 827 is 1

2. Where do I get the detailed procedure to find GCD of 748, 120, 171, 827?

You can find a detailed procedure to find GCD of 748, 120, 171, 827 on our page.

3. How to find GCD of 748, 120, 171, 827 on a calculator?

You can find the GCD of 748, 120, 171, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.