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 872, 670, 372, 361 Calculator

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


Online GCD Calculator is useful to find the GCD of 872, 670, 372, 361 quickly. Get the easiest ways to solve the greatest common divisor of 872, 670, 372, 361 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 872, 670, 372, 361 with Factoring?

Given Input numbers are 872, 670, 372, 361

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361


GCD of numbers is the greatest common divisor

So, the GCD (872, 670, 372, 361) = 1.

Find GCD of 872, 670, 372, 361 using Prime Factorization

Given numbers are 872, 670, 372, 361

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 670 are 2 x 5 x 67

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 361 are 19 x 19

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

Steps to Calculate GCD of 872, 670, 372, 361 using LCM Formula

Given numbers are 872, 670, 372, 361

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

Apply this formula for all numbers.

Step1:

LCM(872, 670) = 292120

GCD(872, 670) = ( 872 x 670 ) / 292120

= 872 / 670

= 872


Step2:

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

= 2 / 372

= 2


Step3:

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

= 2 / 361

= 2


So, Greatest Common Divisor of 872, 670, 372, 361 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 872, 670, 372, 361

Given numbers are 872, 670, 372, 361
The greatest common divisor of numbers 872, 670, 372, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 670, 372, 361 is 1.

FAQs on GCD of 872, 670, 372, 361 Calculator

1. What is the GCD of 872, 670, 372, 361?

GCD of given numbers 872, 670, 372, 361 is 1


2. How to calculate the greatest common divisor of 872, 670, 372, 361?

We can find the highest common divisor of 872, 670, 372, 361 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 872, 670, 372, 361 i.e 1.


3. How can I use the GCD of 872, 670, 372, 361Calculator?

Out the numbers 872, 670, 372, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.