Online GCD Calculator is useful to find the GCD of 370, 922, 388, 574 quickly. Get the easiest ways to solve the greatest common divisor of 370, 922, 388, 574 i.e 2 in different methods as follows.
Given Input numbers are 370, 922, 388, 574
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
Divisors of 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
GCD of numbers is the greatest common divisor
So, the GCD (370, 922, 388, 574) = 2.
Given numbers are 370, 922, 388, 574
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 922 are 2 x 461
Prime factors of 388 are 2 x 2 x 97
Prime factors of 574 are 2 x 7 x 41
The highest common occurrence is 21
Therefore, GCD of 370, 922, 388, 574 is 2.
Given numbers are 370, 922, 388, 574
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 922) = 170570
GCD(370, 922) = ( 370 x 922 ) / 170570
= 370 / 922
= 370
Step2:
LCM(2, 388) = 388
GCD(2, 388) = ( 2 x 388 ) / 388
= 2 / 388
= 2
Step3:
LCM(2, 574) = 574
GCD(2, 574) = ( 2 x 574 ) / 574
= 2 / 574
= 2
So, Greatest Common Divisor of 370, 922, 388, 574 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 922, 388, 574
The greatest common divisor of numbers 370, 922, 388, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 922, 388, 574 is 2.
1. What is the GCD of 370, 922, 388, 574?
GCD of given numbers 370, 922, 388, 574 is 2
2. How to calculate the greatest common divisor of 370, 922, 388, 574?
We can find the highest common divisor of 370, 922, 388, 574 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 370, 922, 388, 574 i.e 2.
3. How can I use the GCD of 370, 922, 388, 574Calculator?
Out the numbers 370, 922, 388, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.