Online GCD Calculator is useful to find the GCD of 242, 489, 210, 780 quickly. Get the easiest ways to solve the greatest common divisor of 242, 489, 210, 780 i.e 1 in different methods as follows.
Given Input numbers are 242, 489, 210, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (242, 489, 210, 780) = 1.
Given numbers are 242, 489, 210, 780
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 489 are 3 x 163
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 242, 489, 210, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 489) = 118338
GCD(242, 489) = ( 242 x 489 ) / 118338
= 242 / 489
= 242
Step2:
LCM(1, 210) = 210
GCD(1, 210) = ( 1 x 210 ) / 210
= 1 / 210
= 1
Step3:
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
= 1 / 780
= 1
So, Greatest Common Divisor of 242, 489, 210, 780 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 489, 210, 780
The greatest common divisor of numbers 242, 489, 210, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 489, 210, 780 is 1.
1. What is the GCD of 242, 489, 210, 780?
GCD of given numbers 242, 489, 210, 780 is 1
2. How to calculate the greatest common divisor of 242, 489, 210, 780?
We can find the highest common divisor of 242, 489, 210, 780 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 242, 489, 210, 780 i.e 1.
3. How can I use the GCD of 242, 489, 210, 780Calculator?
Out the numbers 242, 489, 210, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.