LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 360, 120, 421, 861 Calculator

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


Online GCD Calculator is useful to find the GCD of 360, 120, 421, 861 quickly. Get the easiest ways to solve the greatest common divisor of 360, 120, 421, 861 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 360, 120, 421, 861 with Factoring?

Given Input numbers are 360, 120, 421, 861

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (360, 120, 421, 861) = 1.

Find GCD of 360, 120, 421, 861 using Prime Factorization

Given numbers are 360, 120, 421, 861

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 421 are 421

Prime factors of 861 are 3 x 7 x 41

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

Steps to Calculate GCD of 360, 120, 421, 861 using LCM Formula

Given numbers are 360, 120, 421, 861

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

Apply this formula for all numbers.

Step1:

LCM(360, 120) = 360

GCD(360, 120) = ( 360 x 120 ) / 360

= 360 / 120

= 360


Step2:

LCM(120, 421) = 50520

GCD(120, 421) = ( 120 x 421 ) / 50520

= 120 / 421

= 120


Step3:

LCM(1, 861) = 861

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

= 1 / 861

= 1


So, Greatest Common Divisor of 360, 120, 421, 861 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 360, 120, 421, 861

Given numbers are 360, 120, 421, 861
The greatest common divisor of numbers 360, 120, 421, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 120, 421, 861 is 1.

FAQs on GCD of 360, 120, 421, 861 Calculator

1. What is the GCD of 360, 120, 421, 861?

GCD of given numbers 360, 120, 421, 861 is 1


2. How to calculate the greatest common divisor of 360, 120, 421, 861?

We can find the highest common divisor of 360, 120, 421, 861 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 360, 120, 421, 861 i.e 1.


3. How can I use the GCD of 360, 120, 421, 861Calculator?

Out the numbers 360, 120, 421, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.