Online GCD Calculator is useful to find the GCD of 456, 735, 678, 789 quickly. Get the easiest ways to solve the greatest common divisor of 456, 735, 678, 789 i.e 3 in different methods as follows.
Given Input numbers are 456, 735, 678, 789
In the factoring method, we have to find the divisors of all numbers
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
GCD of numbers is the greatest common divisor
So, the GCD (456, 735, 678, 789) = 3.
Given numbers are 456, 735, 678, 789
The list of prime factors of all numbers are
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 678 are 2 x 3 x 113
Prime factors of 789 are 3 x 263
The highest common occurrence is 31
Therefore, GCD of 456, 735, 678, 789 is 3.
Given numbers are 456, 735, 678, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 735) = 111720
GCD(456, 735) = ( 456 x 735 ) / 111720
= 456 / 735
= 456
Step2:
LCM(3, 678) = 678
GCD(3, 678) = ( 3 x 678 ) / 678
= 3 / 678
= 3
Step3:
LCM(3, 789) = 789
GCD(3, 789) = ( 3 x 789 ) / 789
= 3 / 789
= 3
So, Greatest Common Divisor of 456, 735, 678, 789 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 456, 735, 678, 789
The greatest common divisor of numbers 456, 735, 678, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 735, 678, 789 is 3.
1. What is the GCD of 456, 735, 678, 789?
GCD of given numbers 456, 735, 678, 789 is 3
2. How to calculate the greatest common divisor of 456, 735, 678, 789?
We can find the highest common divisor of 456, 735, 678, 789 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 456, 735, 678, 789 i.e 3.
3. How can I use the GCD of 456, 735, 678, 789Calculator?
Out the numbers 456, 735, 678, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.