Online GCD Calculator is useful to find the GCD of 370, 748, 908, 380 quickly. Get the easiest ways to solve the greatest common divisor of 370, 748, 908, 380 i.e 2 in different methods as follows.
Given Input numbers are 370, 748, 908, 380
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 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 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (370, 748, 908, 380) = 2.
Given numbers are 370, 748, 908, 380
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 908 are 2 x 2 x 227
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 370, 748, 908, 380 is 2.
Given numbers are 370, 748, 908, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 748) = 138380
GCD(370, 748) = ( 370 x 748 ) / 138380
= 370 / 748
= 370
Step2:
LCM(2, 908) = 908
GCD(2, 908) = ( 2 x 908 ) / 908
= 2 / 908
= 2
Step3:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
So, Greatest Common Divisor of 370, 748, 908, 380 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 748, 908, 380
The greatest common divisor of numbers 370, 748, 908, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 748, 908, 380 is 2.
1. What is the GCD of 370, 748, 908, 380?
GCD of given numbers 370, 748, 908, 380 is 2
2. How to calculate the greatest common divisor of 370, 748, 908, 380?
We can find the highest common divisor of 370, 748, 908, 380 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, 748, 908, 380 i.e 2.
3. How can I use the GCD of 370, 748, 908, 380Calculator?
Out the numbers 370, 748, 908, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.