Online GCD Calculator is useful to find the GCD of 370, 328, 952, 172 quickly. Get the easiest ways to solve the greatest common divisor of 370, 328, 952, 172 i.e 2 in different methods as follows.
Given Input numbers are 370, 328, 952, 172
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 328 :
The positive integer divisors of 328 that completely divides 328 are.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (370, 328, 952, 172) = 2.
Given numbers are 370, 328, 952, 172
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 328 are 2 x 2 x 2 x 41
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 370, 328, 952, 172 is 2.
Given numbers are 370, 328, 952, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 328) = 60680
GCD(370, 328) = ( 370 x 328 ) / 60680
= 370 / 328
= 370
Step2:
LCM(2, 952) = 952
GCD(2, 952) = ( 2 x 952 ) / 952
= 2 / 952
= 2
Step3:
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
= 2 / 172
= 2
So, Greatest Common Divisor of 370, 328, 952, 172 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 328, 952, 172
The greatest common divisor of numbers 370, 328, 952, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 328, 952, 172 is 2.
1. What is the GCD of 370, 328, 952, 172?
GCD of given numbers 370, 328, 952, 172 is 2
2. How to calculate the greatest common divisor of 370, 328, 952, 172?
We can find the highest common divisor of 370, 328, 952, 172 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, 328, 952, 172 i.e 2.
3. How can I use the GCD of 370, 328, 952, 172Calculator?
Out the numbers 370, 328, 952, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.