Online GCD Calculator is useful to find the GCD of 630, 970, 434, 180 quickly. Get the easiest ways to solve the greatest common divisor of 630, 970, 434, 180 i.e 2 in different methods as follows.
Given Input numbers are 630, 970, 434, 180
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 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (630, 970, 434, 180) = 2.
Given numbers are 630, 970, 434, 180
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 970 are 2 x 5 x 97
Prime factors of 434 are 2 x 7 x 31
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 630, 970, 434, 180 is 2.
Given numbers are 630, 970, 434, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 970) = 61110
GCD(630, 970) = ( 630 x 970 ) / 61110
= 630 / 970
= 630
Step2:
LCM(10, 434) = 2170
GCD(10, 434) = ( 10 x 434 ) / 2170
= 10 / 434
= 10
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 630, 970, 434, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 970, 434, 180
The greatest common divisor of numbers 630, 970, 434, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 970, 434, 180 is 2.
1. What is the GCD of 630, 970, 434, 180?
GCD of given numbers 630, 970, 434, 180 is 2
2. How to calculate the greatest common divisor of 630, 970, 434, 180?
We can find the highest common divisor of 630, 970, 434, 180 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, 970, 434, 180 i.e 2.
3. How can I use the GCD of 630, 970, 434, 180Calculator?
Out the numbers 630, 970, 434, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.