Online GCD Calculator is useful to find the GCD of 378, 213, 372, 291 quickly. Get the easiest ways to solve the greatest common divisor of 378, 213, 372, 291 i.e 3 in different methods as follows.
Given Input numbers are 378, 213, 372, 291
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 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
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 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
GCD of numbers is the greatest common divisor
So, the GCD (378, 213, 372, 291) = 3.
Given numbers are 378, 213, 372, 291
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 213 are 3 x 71
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 291 are 3 x 97
The highest common occurrence is 31
Therefore, GCD of 378, 213, 372, 291 is 3.
Given numbers are 378, 213, 372, 291
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 213) = 26838
GCD(378, 213) = ( 378 x 213 ) / 26838
= 378 / 213
= 378
Step2:
LCM(3, 372) = 372
GCD(3, 372) = ( 3 x 372 ) / 372
= 3 / 372
= 3
Step3:
LCM(3, 291) = 291
GCD(3, 291) = ( 3 x 291 ) / 291
= 3 / 291
= 3
So, Greatest Common Divisor of 378, 213, 372, 291 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 213, 372, 291
The greatest common divisor of numbers 378, 213, 372, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 213, 372, 291 is 3.
1. What is the GCD of 378, 213, 372, 291?
GCD of given numbers 378, 213, 372, 291 is 3
2. How to calculate the greatest common divisor of 378, 213, 372, 291?
We can find the highest common divisor of 378, 213, 372, 291 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, 213, 372, 291 i.e 3.
3. How can I use the GCD of 378, 213, 372, 291Calculator?
Out the numbers 378, 213, 372, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.