Online GCD Calculator is useful to find the GCD of 771, 111, 621, 345 quickly. Get the easiest ways to solve the greatest common divisor of 771, 111, 621, 345 i.e 3 in different methods as follows.
Given Input numbers are 771, 111, 621, 345
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 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (771, 111, 621, 345) = 3.
Given numbers are 771, 111, 621, 345
The list of prime factors of all numbers are
Prime factors of 771 are 3 x 257
Prime factors of 111 are 3 x 37
Prime factors of 621 are 3 x 3 x 3 x 23
Prime factors of 345 are 3 x 5 x 23
The highest common occurrence is 31
Therefore, GCD of 771, 111, 621, 345 is 3.
Given numbers are 771, 111, 621, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(771, 111) = 28527
GCD(771, 111) = ( 771 x 111 ) / 28527
= 771 / 111
= 771
Step2:
LCM(3, 621) = 621
GCD(3, 621) = ( 3 x 621 ) / 621
= 3 / 621
= 3
Step3:
LCM(3, 345) = 345
GCD(3, 345) = ( 3 x 345 ) / 345
= 3 / 345
= 3
So, Greatest Common Divisor of 771, 111, 621, 345 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 771, 111, 621, 345
The greatest common divisor of numbers 771, 111, 621, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 111, 621, 345 is 3.
1. What is the GCD of 771, 111, 621, 345?
GCD of given numbers 771, 111, 621, 345 is 3
2. How to calculate the greatest common divisor of 771, 111, 621, 345?
We can find the highest common divisor of 771, 111, 621, 345 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, 111, 621, 345 i.e 3.
3. How can I use the GCD of 771, 111, 621, 345Calculator?
Out the numbers 771, 111, 621, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.