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GCD of 434, 923, 120, 889 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 434, 923, 120, 889 quickly. Get the easiest ways to solve the greatest common divisor of 434, 923, 120, 889 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 434, 923, 120, 889 with Factoring?

Given Input numbers are 434, 923, 120, 889

In the factoring method, we have to find the divisors of all numbers

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889


GCD of numbers is the greatest common divisor

So, the GCD (434, 923, 120, 889) = 1.

Find GCD of 434, 923, 120, 889 using Prime Factorization

Given numbers are 434, 923, 120, 889

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 923 are 13 x 71

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 889 are 7 x 127

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

Steps to Calculate GCD of 434, 923, 120, 889 using LCM Formula

Given numbers are 434, 923, 120, 889

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(434, 923) = 400582

GCD(434, 923) = ( 434 x 923 ) / 400582

= 434 / 923

= 434


Step2:

LCM(1, 120) = 120

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

= 1 / 120

= 1


Step3:

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

= 1 / 889

= 1


So, Greatest Common Divisor of 434, 923, 120, 889 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 434, 923, 120, 889

Given numbers are 434, 923, 120, 889
The greatest common divisor of numbers 434, 923, 120, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 923, 120, 889 is 1.

FAQs on GCD of 434, 923, 120, 889 Calculator

1. What is the GCD of 434, 923, 120, 889?

GCD of given numbers 434, 923, 120, 889 is 1


2. How to calculate the greatest common divisor of 434, 923, 120, 889?

We can find the highest common divisor of 434, 923, 120, 889 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 434, 923, 120, 889 i.e 1.


3. How can I use the GCD of 434, 923, 120, 889Calculator?

Out the numbers 434, 923, 120, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.