Online GCD Calculator is useful to find the GCD of 894, 402, 765 quickly. Get the easiest ways to solve the greatest common divisor of 894, 402, 765 i.e 3 in different methods as follows.
Given Input numbers are 894, 402, 765
In the factoring method, we have to find the divisors of all numbers
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (894, 402, 765) = 3.
Given numbers are 894, 402, 765
The list of prime factors of all numbers are
Prime factors of 894 are 2 x 3 x 149
Prime factors of 402 are 2 x 3 x 67
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 894, 402, 765 is 3.
Given numbers are 894, 402, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(894, 402) = 59898
GCD(894, 402) = ( 894 x 402 ) / 59898
= 894 / 402
= 894
Step2:
LCM(6, 765) = 1530
GCD(6, 765) = ( 6 x 765 ) / 1530
= 6 / 765
= 6
So, Greatest Common Divisor of 894, 402, 765 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 894, 402, 765
The greatest common divisor of numbers 894, 402, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 402, 765 is 3.
1. What is the GCD of 894, 402, 765?
GCD of given numbers 894, 402, 765 is 3
2. How to calculate the greatest common divisor of 894, 402, 765?
We can find the highest common divisor of 894, 402, 765 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 894, 402, 765 i.e 3.
3. How can I use the GCD of 894, 402, 765Calculator?
Out the numbers 894, 402, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.