Online GCD Calculator is useful to find the GCD of 873, 846, 777, 648 quickly. Get the easiest ways to solve the greatest common divisor of 873, 846, 777, 648 i.e 3 in different methods as follows.
Given Input numbers are 873, 846, 777, 648
In the factoring method, we have to find the divisors of all numbers
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (873, 846, 777, 648) = 3.
Given numbers are 873, 846, 777, 648
The list of prime factors of all numbers are
Prime factors of 873 are 3 x 3 x 97
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 777 are 3 x 7 x 37
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 873, 846, 777, 648 is 3.
Given numbers are 873, 846, 777, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(873, 846) = 82062
GCD(873, 846) = ( 873 x 846 ) / 82062
= 873 / 846
= 873
Step2:
LCM(9, 777) = 2331
GCD(9, 777) = ( 9 x 777 ) / 2331
= 9 / 777
= 9
Step3:
LCM(3, 648) = 648
GCD(3, 648) = ( 3 x 648 ) / 648
= 3 / 648
= 3
So, Greatest Common Divisor of 873, 846, 777, 648 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 873, 846, 777, 648
The greatest common divisor of numbers 873, 846, 777, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 846, 777, 648 is 3.
1. What is the GCD of 873, 846, 777, 648?
GCD of given numbers 873, 846, 777, 648 is 3
2. How to calculate the greatest common divisor of 873, 846, 777, 648?
We can find the highest common divisor of 873, 846, 777, 648 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 873, 846, 777, 648 i.e 3.
3. How can I use the GCD of 873, 846, 777, 648Calculator?
Out the numbers 873, 846, 777, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.