Online GCD Calculator is useful to find the GCD of 370, 640, 398, 442 quickly. Get the easiest ways to solve the greatest common divisor of 370, 640, 398, 442 i.e 2 in different methods as follows.
Given Input numbers are 370, 640, 398, 442
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 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (370, 640, 398, 442) = 2.
Given numbers are 370, 640, 398, 442
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 398 are 2 x 199
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 21
Therefore, GCD of 370, 640, 398, 442 is 2.
Given numbers are 370, 640, 398, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 640) = 23680
GCD(370, 640) = ( 370 x 640 ) / 23680
= 370 / 640
= 370
Step2:
LCM(10, 398) = 1990
GCD(10, 398) = ( 10 x 398 ) / 1990
= 10 / 398
= 10
Step3:
LCM(2, 442) = 442
GCD(2, 442) = ( 2 x 442 ) / 442
= 2 / 442
= 2
So, Greatest Common Divisor of 370, 640, 398, 442 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 640, 398, 442
The greatest common divisor of numbers 370, 640, 398, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 640, 398, 442 is 2.
1. What is the GCD of 370, 640, 398, 442?
GCD of given numbers 370, 640, 398, 442 is 2
2. How to calculate the greatest common divisor of 370, 640, 398, 442?
We can find the highest common divisor of 370, 640, 398, 442 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, 640, 398, 442 i.e 2.
3. How can I use the GCD of 370, 640, 398, 442Calculator?
Out the numbers 370, 640, 398, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.