Online GCD Calculator is useful to find the GCD of 801, 690, 867, 225 quickly. Get the easiest ways to solve the greatest common divisor of 801, 690, 867, 225 i.e 3 in different methods as follows.
Given Input numbers are 801, 690, 867, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (801, 690, 867, 225) = 3.
Given numbers are 801, 690, 867, 225
The list of prime factors of all numbers are
Prime factors of 801 are 3 x 3 x 89
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 867 are 3 x 17 x 17
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 801, 690, 867, 225 is 3.
Given numbers are 801, 690, 867, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(801, 690) = 184230
GCD(801, 690) = ( 801 x 690 ) / 184230
= 801 / 690
= 801
Step2:
LCM(3, 867) = 867
GCD(3, 867) = ( 3 x 867 ) / 867
= 3 / 867
= 3
Step3:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 801, 690, 867, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 801, 690, 867, 225
The greatest common divisor of numbers 801, 690, 867, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 690, 867, 225 is 3.
1. What is the GCD of 801, 690, 867, 225?
GCD of given numbers 801, 690, 867, 225 is 3
2. How to calculate the greatest common divisor of 801, 690, 867, 225?
We can find the highest common divisor of 801, 690, 867, 225 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 801, 690, 867, 225 i.e 3.
3. How can I use the GCD of 801, 690, 867, 225Calculator?
Out the numbers 801, 690, 867, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.