Online GCD Calculator is useful to find the GCD of 630, 412, 174, 696 quickly. Get the easiest ways to solve the greatest common divisor of 630, 412, 174, 696 i.e 2 in different methods as follows.
Given Input numbers are 630, 412, 174, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (630, 412, 174, 696) = 2.
Given numbers are 630, 412, 174, 696
The list of prime factors of all numbers are
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 412 are 2 x 2 x 103
Prime factors of 174 are 2 x 3 x 29
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 630, 412, 174, 696 is 2.
Given numbers are 630, 412, 174, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 412) = 129780
GCD(630, 412) = ( 630 x 412 ) / 129780
= 630 / 412
= 630
Step2:
LCM(2, 174) = 174
GCD(2, 174) = ( 2 x 174 ) / 174
= 2 / 174
= 2
Step3:
LCM(2, 696) = 696
GCD(2, 696) = ( 2 x 696 ) / 696
= 2 / 696
= 2
So, Greatest Common Divisor of 630, 412, 174, 696 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 412, 174, 696
The greatest common divisor of numbers 630, 412, 174, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 412, 174, 696 is 2.
1. What is the GCD of 630, 412, 174, 696?
GCD of given numbers 630, 412, 174, 696 is 2
2. How to calculate the greatest common divisor of 630, 412, 174, 696?
We can find the highest common divisor of 630, 412, 174, 696 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 630, 412, 174, 696 i.e 2.
3. How can I use the GCD of 630, 412, 174, 696Calculator?
Out the numbers 630, 412, 174, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.