GCD of 889, 753, 120, 861 Calculator

Given Input numbers are 889, 753, 120, 861

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

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

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 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 889, 753, 120, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 753, 120, 861 is 1.

Therefore, GCD of numbers 889, 753, 120, 861 is 1

Given Input Data is 889, 753, 120, 861

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 753 is 3 x 251

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

Prime Factorization of 861 is 3 x 7 x 41

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(889, 753) = 669417

GCD(889, 753) = ( 889 x 753 ) / 669417

GCD(889, 753) = 669417 / 669417

GCD(889, 753) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 889, 753, 120, 861 is 1

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1. What is the GCD of 889, 753, 120, 861?

GCD of 889, 753, 120, 861 is 1

2. Where do I get the detailed procedure to find GCD of 889, 753, 120, 861?

You can find a detailed procedure to find GCD of 889, 753, 120, 861 on our page.

3. How to find GCD of 889, 753, 120, 861 on a calculator?

You can find the GCD of 889, 753, 120, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.