Online GCD Calculator is useful to find the GCD of 748, 387, 361, 212 quickly. Get the easiest ways to solve the greatest common divisor of 748, 387, 361, 212 i.e 1 in different methods as follows.
Given Input numbers are 748, 387, 361, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (748, 387, 361, 212) = 1.
Given numbers are 748, 387, 361, 212
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 387 are 3 x 3 x 43
Prime factors of 361 are 19 x 19
Prime factors of 212 are 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 387, 361, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 387) = 289476
GCD(748, 387) = ( 748 x 387 ) / 289476
= 748 / 387
= 748
Step2:
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
= 1 / 361
= 1
Step3:
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
= 1 / 212
= 1
So, Greatest Common Divisor of 748, 387, 361, 212 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 387, 361, 212
The greatest common divisor of numbers 748, 387, 361, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 387, 361, 212 is 1.
1. What is the GCD of 748, 387, 361, 212?
GCD of given numbers 748, 387, 361, 212 is 1
2. How to calculate the greatest common divisor of 748, 387, 361, 212?
We can find the highest common divisor of 748, 387, 361, 212 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 748, 387, 361, 212 i.e 1.
3. How can I use the GCD of 748, 387, 361, 212Calculator?
Out the numbers 748, 387, 361, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.