Online GCD Calculator is useful to find the GCD of 753, 870, 225, 453 quickly. Get the easiest ways to solve the greatest common divisor of 753, 870, 225, 453 i.e 3 in different methods as follows.
Given Input numbers are 753, 870, 225, 453
In the factoring method, we have to find the divisors of all numbers
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 453 :
The positive integer divisors of 453 that completely divides 453 are.
1, 3, 151, 453
GCD of numbers is the greatest common divisor
So, the GCD (753, 870, 225, 453) = 3.
Given numbers are 753, 870, 225, 453
The list of prime factors of all numbers are
Prime factors of 753 are 3 x 251
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 453 are 3 x 151
The highest common occurrence is 31
Therefore, GCD of 753, 870, 225, 453 is 3.
Given numbers are 753, 870, 225, 453
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(753, 870) = 218370
GCD(753, 870) = ( 753 x 870 ) / 218370
= 753 / 870
= 753
Step2:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
Step3:
LCM(3, 453) = 453
GCD(3, 453) = ( 3 x 453 ) / 453
= 3 / 453
= 3
So, Greatest Common Divisor of 753, 870, 225, 453 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 753, 870, 225, 453
The greatest common divisor of numbers 753, 870, 225, 453 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 870, 225, 453 is 3.
1. What is the GCD of 753, 870, 225, 453?
GCD of given numbers 753, 870, 225, 453 is 3
2. How to calculate the greatest common divisor of 753, 870, 225, 453?
We can find the highest common divisor of 753, 870, 225, 453 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 753, 870, 225, 453 i.e 3.
3. How can I use the GCD of 753, 870, 225, 453Calculator?
Out the numbers 753, 870, 225, 453 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.