Online GCD Calculator is useful to find the GCD of 242, 561, 400, 820 quickly. Get the easiest ways to solve the greatest common divisor of 242, 561, 400, 820 i.e 1 in different methods as follows.
Given Input numbers are 242, 561, 400, 820
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 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (242, 561, 400, 820) = 1.
Given numbers are 242, 561, 400, 820
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 561 are 3 x 11 x 17
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 242, 561, 400, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 561) = 12342
GCD(242, 561) = ( 242 x 561 ) / 12342
= 242 / 561
= 242
Step2:
LCM(11, 400) = 4400
GCD(11, 400) = ( 11 x 400 ) / 4400
= 11 / 400
= 11
Step3:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
So, Greatest Common Divisor of 242, 561, 400, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 561, 400, 820
The greatest common divisor of numbers 242, 561, 400, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 561, 400, 820 is 1.
1. What is the GCD of 242, 561, 400, 820?
GCD of given numbers 242, 561, 400, 820 is 1
2. How to calculate the greatest common divisor of 242, 561, 400, 820?
We can find the highest common divisor of 242, 561, 400, 820 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, 561, 400, 820 i.e 1.
3. How can I use the GCD of 242, 561, 400, 820Calculator?
Out the numbers 242, 561, 400, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.