Online GCD Calculator is useful to find the GCD of 224, 820, 461, 252 quickly. Get the easiest ways to solve the greatest common divisor of 224, 820, 461, 252 i.e 1 in different methods as follows.
Given Input numbers are 224, 820, 461, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
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
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (224, 820, 461, 252) = 1.
Given numbers are 224, 820, 461, 252
The list of prime factors of all numbers are
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 461 are 461
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 224, 820, 461, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 820) = 45920
GCD(224, 820) = ( 224 x 820 ) / 45920
= 224 / 820
= 224
Step2:
LCM(4, 461) = 1844
GCD(4, 461) = ( 4 x 461 ) / 1844
= 4 / 461
= 4
Step3:
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
= 1 / 252
= 1
So, Greatest Common Divisor of 224, 820, 461, 252 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 224, 820, 461, 252
The greatest common divisor of numbers 224, 820, 461, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 820, 461, 252 is 1.
1. What is the GCD of 224, 820, 461, 252?
GCD of given numbers 224, 820, 461, 252 is 1
2. How to calculate the greatest common divisor of 224, 820, 461, 252?
We can find the highest common divisor of 224, 820, 461, 252 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 224, 820, 461, 252 i.e 1.
3. How can I use the GCD of 224, 820, 461, 252Calculator?
Out the numbers 224, 820, 461, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.