Online GCD Calculator is useful to find the GCD of 890, 945, 765 quickly. Get the easiest ways to solve the greatest common divisor of 890, 945, 765 i.e 5 in different methods as follows.
Given Input numbers are 890, 945, 765
In the factoring method, we have to find the divisors of all numbers
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
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 (890, 945, 765) = 5.
Given numbers are 890, 945, 765
The list of prime factors of all numbers are
Prime factors of 890 are 2 x 5 x 89
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 51
Therefore, GCD of 890, 945, 765 is 5.
Given numbers are 890, 945, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(890, 945) = 168210
GCD(890, 945) = ( 890 x 945 ) / 168210
= 890 / 945
= 890
Step2:
LCM(5, 765) = 765
GCD(5, 765) = ( 5 x 765 ) / 765
= 5 / 765
= 5
So, Greatest Common Divisor of 890, 945, 765 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 890, 945, 765
The greatest common divisor of numbers 890, 945, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 945, 765 is 5.
1. What is the GCD of 890, 945, 765?
GCD of given numbers 890, 945, 765 is 5
2. How to calculate the greatest common divisor of 890, 945, 765?
We can find the highest common divisor of 890, 945, 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 890, 945, 765 i.e 5.
3. How can I use the GCD of 890, 945, 765Calculator?
Out the numbers 890, 945, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.