Online GCD Calculator is useful to find the GCD of 370, 874, 374, 422 quickly. Get the easiest ways to solve the greatest common divisor of 370, 874, 374, 422 i.e 2 in different methods as follows.
Given Input numbers are 370, 874, 374, 422
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 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (370, 874, 374, 422) = 2.
Given numbers are 370, 874, 374, 422
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 874 are 2 x 19 x 23
Prime factors of 374 are 2 x 11 x 17
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 370, 874, 374, 422 is 2.
Given numbers are 370, 874, 374, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 874) = 161690
GCD(370, 874) = ( 370 x 874 ) / 161690
= 370 / 874
= 370
Step2:
LCM(2, 374) = 374
GCD(2, 374) = ( 2 x 374 ) / 374
= 2 / 374
= 2
Step3:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
So, Greatest Common Divisor of 370, 874, 374, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 874, 374, 422
The greatest common divisor of numbers 370, 874, 374, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 874, 374, 422 is 2.
1. What is the GCD of 370, 874, 374, 422?
GCD of given numbers 370, 874, 374, 422 is 2
2. How to calculate the greatest common divisor of 370, 874, 374, 422?
We can find the highest common divisor of 370, 874, 374, 422 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, 874, 374, 422 i.e 2.
3. How can I use the GCD of 370, 874, 374, 422Calculator?
Out the numbers 370, 874, 374, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.