Online GCD Calculator is useful to find the GCD of 630, 420, 930, 909 quickly. Get the easiest ways to solve the greatest common divisor of 630, 420, 930, 909 i.e 3 in different methods as follows.
Given Input numbers are 630, 420, 930, 909
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 930 :
The positive integer divisors of 930 that completely divides 930 are.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (630, 420, 930, 909) = 3.
Given numbers are 630, 420, 930, 909
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 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 930 are 2 x 3 x 5 x 31
Prime factors of 909 are 3 x 3 x 101
The highest common occurrence is 31
Therefore, GCD of 630, 420, 930, 909 is 3.
Given numbers are 630, 420, 930, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 420) = 1260
GCD(630, 420) = ( 630 x 420 ) / 1260
= 630 / 420
= 630
Step2:
LCM(210, 930) = 6510
GCD(210, 930) = ( 210 x 930 ) / 6510
= 210 / 930
= 210
Step3:
LCM(30, 909) = 9090
GCD(30, 909) = ( 30 x 909 ) / 9090
= 30 / 909
= 30
So, Greatest Common Divisor of 630, 420, 930, 909 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 420, 930, 909
The greatest common divisor of numbers 630, 420, 930, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 420, 930, 909 is 3.
1. What is the GCD of 630, 420, 930, 909?
GCD of given numbers 630, 420, 930, 909 is 3
2. How to calculate the greatest common divisor of 630, 420, 930, 909?
We can find the highest common divisor of 630, 420, 930, 909 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, 420, 930, 909 i.e 3.
3. How can I use the GCD of 630, 420, 930, 909Calculator?
Out the numbers 630, 420, 930, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.