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.
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.
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.
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
Here are some samples of GCD of Numbers calculations.
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.
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.