Online GCD Calculator is useful to find the GCD of 505, 252, 900, 124 quickly. Get the easiest ways to solve the greatest common divisor of 505, 252, 900, 124 i.e 1 in different methods as follows.
Given Input numbers are 505, 252, 900, 124
In the factoring method, we have to find the divisors of all numbers
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
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
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
GCD of numbers is the greatest common divisor
So, the GCD (505, 252, 900, 124) = 1.
Given numbers are 505, 252, 900, 124
The list of prime factors of all numbers are
Prime factors of 505 are 5 x 101
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 124 are 2 x 2 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 505, 252, 900, 124
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(505, 252) = 127260
GCD(505, 252) = ( 505 x 252 ) / 127260
= 505 / 252
= 505
Step2:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
Step3:
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
= 1 / 124
= 1
So, Greatest Common Divisor of 505, 252, 900, 124 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 505, 252, 900, 124
The greatest common divisor of numbers 505, 252, 900, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 252, 900, 124 is 1.
1. What is the GCD of 505, 252, 900, 124?
GCD of given numbers 505, 252, 900, 124 is 1
2. How to calculate the greatest common divisor of 505, 252, 900, 124?
We can find the highest common divisor of 505, 252, 900, 124 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 505, 252, 900, 124 i.e 1.
3. How can I use the GCD of 505, 252, 900, 124Calculator?
Out the numbers 505, 252, 900, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.