Online GCD Calculator is useful to find the GCD of 477, 363, 780, 867 quickly. Get the easiest ways to solve the greatest common divisor of 477, 363, 780, 867 i.e 3 in different methods as follows.
Given Input numbers are 477, 363, 780, 867
In the factoring method, we have to find the divisors of all numbers
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
GCD of numbers is the greatest common divisor
So, the GCD (477, 363, 780, 867) = 3.
Given numbers are 477, 363, 780, 867
The list of prime factors of all numbers are
Prime factors of 477 are 3 x 3 x 53
Prime factors of 363 are 3 x 11 x 11
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 867 are 3 x 17 x 17
The highest common occurrence is 31
Therefore, GCD of 477, 363, 780, 867 is 3.
Given numbers are 477, 363, 780, 867
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(477, 363) = 57717
GCD(477, 363) = ( 477 x 363 ) / 57717
= 477 / 363
= 477
Step2:
LCM(3, 780) = 780
GCD(3, 780) = ( 3 x 780 ) / 780
= 3 / 780
= 3
Step3:
LCM(3, 867) = 867
GCD(3, 867) = ( 3 x 867 ) / 867
= 3 / 867
= 3
So, Greatest Common Divisor of 477, 363, 780, 867 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 477, 363, 780, 867
The greatest common divisor of numbers 477, 363, 780, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 363, 780, 867 is 3.
1. What is the GCD of 477, 363, 780, 867?
GCD of given numbers 477, 363, 780, 867 is 3
2. How to calculate the greatest common divisor of 477, 363, 780, 867?
We can find the highest common divisor of 477, 363, 780, 867 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 477, 363, 780, 867 i.e 3.
3. How can I use the GCD of 477, 363, 780, 867Calculator?
Out the numbers 477, 363, 780, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.