Online GCD Calculator is useful to find the GCD of 370, 974, 950, 382 quickly. Get the easiest ways to solve the greatest common divisor of 370, 974, 950, 382 i.e 2 in different methods as follows.
Given Input numbers are 370, 974, 950, 382
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 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 950 :
The positive integer divisors of 950 that completely divides 950 are.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (370, 974, 950, 382) = 2.
Given numbers are 370, 974, 950, 382
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 974 are 2 x 487
Prime factors of 950 are 2 x 5 x 5 x 19
Prime factors of 382 are 2 x 191
The highest common occurrence is 21
Therefore, GCD of 370, 974, 950, 382 is 2.
Given numbers are 370, 974, 950, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 974) = 180190
GCD(370, 974) = ( 370 x 974 ) / 180190
= 370 / 974
= 370
Step2:
LCM(2, 950) = 950
GCD(2, 950) = ( 2 x 950 ) / 950
= 2 / 950
= 2
Step3:
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
= 2 / 382
= 2
So, Greatest Common Divisor of 370, 974, 950, 382 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 974, 950, 382
The greatest common divisor of numbers 370, 974, 950, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 974, 950, 382 is 2.
1. What is the GCD of 370, 974, 950, 382?
GCD of given numbers 370, 974, 950, 382 is 2
2. How to calculate the greatest common divisor of 370, 974, 950, 382?
We can find the highest common divisor of 370, 974, 950, 382 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, 974, 950, 382 i.e 2.
3. How can I use the GCD of 370, 974, 950, 382Calculator?
Out the numbers 370, 974, 950, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.