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GCD of 120, 455, 840, 798 Calculator

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


Online GCD Calculator is useful to find the GCD of 120, 455, 840, 798 quickly. Get the easiest ways to solve the greatest common divisor of 120, 455, 840, 798 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 455, 840, 798 with Factoring?

Given Input numbers are 120, 455, 840, 798

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

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 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798


GCD of numbers is the greatest common divisor

So, the GCD (120, 455, 840, 798) = 1.

Find GCD of 120, 455, 840, 798 using Prime Factorization

Given numbers are 120, 455, 840, 798

The list of prime factors of all numbers are

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

Prime factors of 455 are 5 x 7 x 13

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 798 are 2 x 3 x 7 x 19

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

Steps to Calculate GCD of 120, 455, 840, 798 using LCM Formula

Given numbers are 120, 455, 840, 798

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

Apply this formula for all numbers.

Step1:

LCM(120, 455) = 10920

GCD(120, 455) = ( 120 x 455 ) / 10920

= 120 / 455

= 120


Step2:

LCM(5, 840) = 840

GCD(5, 840) = ( 5 x 840 ) / 840

= 5 / 840

= 5


Step3:

LCM(5, 798) = 3990

GCD(5, 798) = ( 5 x 798 ) / 3990

= 5 / 798

= 5


So, Greatest Common Divisor of 120, 455, 840, 798 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 455, 840, 798

Given numbers are 120, 455, 840, 798
The greatest common divisor of numbers 120, 455, 840, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 455, 840, 798 is 1.

FAQs on GCD of 120, 455, 840, 798 Calculator

1. What is the GCD of 120, 455, 840, 798?

GCD of given numbers 120, 455, 840, 798 is 1


2. How to calculate the greatest common divisor of 120, 455, 840, 798?

We can find the highest common divisor of 120, 455, 840, 798 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 120, 455, 840, 798 i.e 1.


3. How can I use the GCD of 120, 455, 840, 798Calculator?

Out the numbers 120, 455, 840, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.