Online GCD Calculator is useful to find the GCD of 378, 438, 891, 771 quickly. Get the easiest ways to solve the greatest common divisor of 378, 438, 891, 771 i.e 3 in different methods as follows.
Given Input numbers are 378, 438, 891, 771
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 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
GCD of numbers is the greatest common divisor
So, the GCD (378, 438, 891, 771) = 3.
Given numbers are 378, 438, 891, 771
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 438 are 2 x 3 x 73
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 771 are 3 x 257
The highest common occurrence is 31
Therefore, GCD of 378, 438, 891, 771 is 3.
Given numbers are 378, 438, 891, 771
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 438) = 27594
GCD(378, 438) = ( 378 x 438 ) / 27594
= 378 / 438
= 378
Step2:
LCM(6, 891) = 1782
GCD(6, 891) = ( 6 x 891 ) / 1782
= 6 / 891
= 6
Step3:
LCM(3, 771) = 771
GCD(3, 771) = ( 3 x 771 ) / 771
= 3 / 771
= 3
So, Greatest Common Divisor of 378, 438, 891, 771 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 438, 891, 771
The greatest common divisor of numbers 378, 438, 891, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 438, 891, 771 is 3.
1. What is the GCD of 378, 438, 891, 771?
GCD of given numbers 378, 438, 891, 771 is 3
2. How to calculate the greatest common divisor of 378, 438, 891, 771?
We can find the highest common divisor of 378, 438, 891, 771 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, 438, 891, 771 i.e 3.
3. How can I use the GCD of 378, 438, 891, 771Calculator?
Out the numbers 378, 438, 891, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.