Online GCD Calculator is useful to find the GCD of 771, 831, 177, 225 quickly. Get the easiest ways to solve the greatest common divisor of 771, 831, 177, 225 i.e 3 in different methods as follows.
Given Input numbers are 771, 831, 177, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
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 (771, 831, 177, 225) = 3.
Given numbers are 771, 831, 177, 225
The list of prime factors of all numbers are
Prime factors of 771 are 3 x 257
Prime factors of 831 are 3 x 277
Prime factors of 177 are 3 x 59
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 771, 831, 177, 225 is 3.
Given numbers are 771, 831, 177, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(771, 831) = 213567
GCD(771, 831) = ( 771 x 831 ) / 213567
= 771 / 831
= 771
Step2:
LCM(3, 177) = 177
GCD(3, 177) = ( 3 x 177 ) / 177
= 3 / 177
= 3
Step3:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 771, 831, 177, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 771, 831, 177, 225
The greatest common divisor of numbers 771, 831, 177, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 831, 177, 225 is 3.
1. What is the GCD of 771, 831, 177, 225?
GCD of given numbers 771, 831, 177, 225 is 3
2. How to calculate the greatest common divisor of 771, 831, 177, 225?
We can find the highest common divisor of 771, 831, 177, 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 771, 831, 177, 225 i.e 3.
3. How can I use the GCD of 771, 831, 177, 225Calculator?
Out the numbers 771, 831, 177, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.