Online GCD Calculator is useful to find the GCD of 201, 522, 843, 378 quickly. Get the easiest ways to solve the greatest common divisor of 201, 522, 843, 378 i.e 3 in different methods as follows.
Given Input numbers are 201, 522, 843, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 843 :
The positive integer divisors of 843 that completely divides 843 are.
1, 3, 281, 843
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
GCD of numbers is the greatest common divisor
So, the GCD (201, 522, 843, 378) = 3.
Given numbers are 201, 522, 843, 378
The list of prime factors of all numbers are
Prime factors of 201 are 3 x 67
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 843 are 3 x 281
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 201, 522, 843, 378 is 3.
Given numbers are 201, 522, 843, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(201, 522) = 34974
GCD(201, 522) = ( 201 x 522 ) / 34974
= 201 / 522
= 201
Step2:
LCM(3, 843) = 843
GCD(3, 843) = ( 3 x 843 ) / 843
= 3 / 843
= 3
Step3:
LCM(3, 378) = 378
GCD(3, 378) = ( 3 x 378 ) / 378
= 3 / 378
= 3
So, Greatest Common Divisor of 201, 522, 843, 378 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 201, 522, 843, 378
The greatest common divisor of numbers 201, 522, 843, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 522, 843, 378 is 3.
1. What is the GCD of 201, 522, 843, 378?
GCD of given numbers 201, 522, 843, 378 is 3
2. How to calculate the greatest common divisor of 201, 522, 843, 378?
We can find the highest common divisor of 201, 522, 843, 378 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 201, 522, 843, 378 i.e 3.
3. How can I use the GCD of 201, 522, 843, 378Calculator?
Out the numbers 201, 522, 843, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.