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 363, 378, 681, 948 Calculator

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


Online GCD Calculator is useful to find the GCD of 363, 378, 681, 948 quickly. Get the easiest ways to solve the greatest common divisor of 363, 378, 681, 948 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 363, 378, 681, 948 with Factoring?

Given Input numbers are 363, 378, 681, 948

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

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 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948


GCD of numbers is the greatest common divisor

So, the GCD (363, 378, 681, 948) = 3.

Find GCD of 363, 378, 681, 948 using Prime Factorization

Given numbers are 363, 378, 681, 948

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

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

Prime factors of 681 are 3 x 227

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 31

Therefore, GCD of 363, 378, 681, 948 is 3.

Steps to Calculate GCD of 363, 378, 681, 948 using LCM Formula

Given numbers are 363, 378, 681, 948

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

Apply this formula for all numbers.

Step1:

LCM(363, 378) = 45738

GCD(363, 378) = ( 363 x 378 ) / 45738

= 363 / 378

= 363


Step2:

LCM(3, 681) = 681

GCD(3, 681) = ( 3 x 681 ) / 681

= 3 / 681

= 3


Step3:

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

= 3 / 948

= 3


So, Greatest Common Divisor of 363, 378, 681, 948 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 363, 378, 681, 948

Given numbers are 363, 378, 681, 948
The greatest common divisor of numbers 363, 378, 681, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 378, 681, 948 is 3.

FAQs on GCD of 363, 378, 681, 948 Calculator

1. What is the GCD of 363, 378, 681, 948?

GCD of given numbers 363, 378, 681, 948 is 3


2. How to calculate the greatest common divisor of 363, 378, 681, 948?

We can find the highest common divisor of 363, 378, 681, 948 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 363, 378, 681, 948 i.e 3.


3. How can I use the GCD of 363, 378, 681, 948Calculator?

Out the numbers 363, 378, 681, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.