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 378, 876, 309, 871 Calculator

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


Online GCD Calculator is useful to find the GCD of 378, 876, 309, 871 quickly. Get the easiest ways to solve the greatest common divisor of 378, 876, 309, 871 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 876, 309, 871 with Factoring?

Given Input numbers are 378, 876, 309, 871

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871


GCD of numbers is the greatest common divisor

So, the GCD (378, 876, 309, 871) = 1.

Find GCD of 378, 876, 309, 871 using Prime Factorization

Given numbers are 378, 876, 309, 871

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 309 are 3 x 103

Prime factors of 871 are 13 x 67

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

Steps to Calculate GCD of 378, 876, 309, 871 using LCM Formula

Given numbers are 378, 876, 309, 871

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

Apply this formula for all numbers.

Step1:

LCM(378, 876) = 55188

GCD(378, 876) = ( 378 x 876 ) / 55188

= 378 / 876

= 378


Step2:

LCM(6, 309) = 618

GCD(6, 309) = ( 6 x 309 ) / 618

= 6 / 309

= 6


Step3:

LCM(3, 871) = 2613

GCD(3, 871) = ( 3 x 871 ) / 2613

= 3 / 871

= 3


So, Greatest Common Divisor of 378, 876, 309, 871 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 876, 309, 871

Given numbers are 378, 876, 309, 871
The greatest common divisor of numbers 378, 876, 309, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 876, 309, 871 is 1.

FAQs on GCD of 378, 876, 309, 871 Calculator

1. What is the GCD of 378, 876, 309, 871?

GCD of given numbers 378, 876, 309, 871 is 1


2. How to calculate the greatest common divisor of 378, 876, 309, 871?

We can find the highest common divisor of 378, 876, 309, 871 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 378, 876, 309, 871 i.e 1.


3. How can I use the GCD of 378, 876, 309, 871Calculator?

Out the numbers 378, 876, 309, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.