Online GCD Calculator is useful to find the GCD of 777, 219, 681, 180 quickly. Get the easiest ways to solve the greatest common divisor of 777, 219, 681, 180 i.e 3 in different methods as follows.
Given Input numbers are 777, 219, 681, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 219 :
The positive integer divisors of 219 that completely divides 219 are.
1, 3, 73, 219
Divisors of 681 :
The positive integer divisors of 681 that completely divides 681 are.
1, 3, 227, 681
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (777, 219, 681, 180) = 3.
Given numbers are 777, 219, 681, 180
The list of prime factors of all numbers are
Prime factors of 777 are 3 x 7 x 37
Prime factors of 219 are 3 x 73
Prime factors of 681 are 3 x 227
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 777, 219, 681, 180 is 3.
Given numbers are 777, 219, 681, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(777, 219) = 56721
GCD(777, 219) = ( 777 x 219 ) / 56721
= 777 / 219
= 777
Step2:
LCM(3, 681) = 681
GCD(3, 681) = ( 3 x 681 ) / 681
= 3 / 681
= 3
Step3:
LCM(3, 180) = 180
GCD(3, 180) = ( 3 x 180 ) / 180
= 3 / 180
= 3
So, Greatest Common Divisor of 777, 219, 681, 180 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 777, 219, 681, 180
The greatest common divisor of numbers 777, 219, 681, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 219, 681, 180 is 3.
1. What is the GCD of 777, 219, 681, 180?
GCD of given numbers 777, 219, 681, 180 is 3
2. How to calculate the greatest common divisor of 777, 219, 681, 180?
We can find the highest common divisor of 777, 219, 681, 180 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 777, 219, 681, 180 i.e 3.
3. How can I use the GCD of 777, 219, 681, 180Calculator?
Out the numbers 777, 219, 681, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.