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GCD of 905, 883, 898, 120 Calculator

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


Online GCD Calculator is useful to find the GCD of 905, 883, 898, 120 quickly. Get the easiest ways to solve the greatest common divisor of 905, 883, 898, 120 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 905, 883, 898, 120 with Factoring?

Given Input numbers are 905, 883, 898, 120

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

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 883 :

The positive integer divisors of 883 that completely divides 883 are.

1, 883

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

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


GCD of numbers is the greatest common divisor

So, the GCD (905, 883, 898, 120) = 1.

Find GCD of 905, 883, 898, 120 using Prime Factorization

Given numbers are 905, 883, 898, 120

The list of prime factors of all numbers are

Prime factors of 905 are 5 x 181

Prime factors of 883 are 883

Prime factors of 898 are 2 x 449

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

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

Steps to Calculate GCD of 905, 883, 898, 120 using LCM Formula

Given numbers are 905, 883, 898, 120

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

Apply this formula for all numbers.

Step1:

LCM(905, 883) = 799115

GCD(905, 883) = ( 905 x 883 ) / 799115

= 905 / 883

= 905


Step2:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1


Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1


So, Greatest Common Divisor of 905, 883, 898, 120 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 905, 883, 898, 120

Given numbers are 905, 883, 898, 120
The greatest common divisor of numbers 905, 883, 898, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 905, 883, 898, 120 is 1.

FAQs on GCD of 905, 883, 898, 120 Calculator

1. What is the GCD of 905, 883, 898, 120?

GCD of given numbers 905, 883, 898, 120 is 1


2. How to calculate the greatest common divisor of 905, 883, 898, 120?

We can find the highest common divisor of 905, 883, 898, 120 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 905, 883, 898, 120 i.e 1.


3. How can I use the GCD of 905, 883, 898, 120Calculator?

Out the numbers 905, 883, 898, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.