Online GCD Calculator is useful to find the GCD of 771, 465, 162, 222 quickly. Get the easiest ways to solve the greatest common divisor of 771, 465, 162, 222 i.e 3 in different methods as follows.
Given Input numbers are 771, 465, 162, 222
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 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
GCD of numbers is the greatest common divisor
So, the GCD (771, 465, 162, 222) = 3.
Given numbers are 771, 465, 162, 222
The list of prime factors of all numbers are
Prime factors of 771 are 3 x 257
Prime factors of 465 are 3 x 5 x 31
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 222 are 2 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 771, 465, 162, 222 is 3.
Given numbers are 771, 465, 162, 222
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(771, 465) = 119505
GCD(771, 465) = ( 771 x 465 ) / 119505
= 771 / 465
= 771
Step2:
LCM(3, 162) = 162
GCD(3, 162) = ( 3 x 162 ) / 162
= 3 / 162
= 3
Step3:
LCM(3, 222) = 222
GCD(3, 222) = ( 3 x 222 ) / 222
= 3 / 222
= 3
So, Greatest Common Divisor of 771, 465, 162, 222 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 771, 465, 162, 222
The greatest common divisor of numbers 771, 465, 162, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 465, 162, 222 is 3.
1. What is the GCD of 771, 465, 162, 222?
GCD of given numbers 771, 465, 162, 222 is 3
2. How to calculate the greatest common divisor of 771, 465, 162, 222?
We can find the highest common divisor of 771, 465, 162, 222 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, 465, 162, 222 i.e 3.
3. How can I use the GCD of 771, 465, 162, 222Calculator?
Out the numbers 771, 465, 162, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.