Online GCD Calculator is useful to find the GCD of 702, 891, 945 quickly. Get the easiest ways to solve the greatest common divisor of 702, 891, 945 i.e 27 in different methods as follows.
Given Input numbers are 702, 891, 945
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
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
GCD of numbers is the greatest common divisor
So, the GCD (702, 891, 945) = 27.
Given numbers are 702, 891, 945
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
The highest common occurrence is 33
Therefore, GCD of 702, 891, 945 is 27.
Given numbers are 702, 891, 945
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 891) = 23166
GCD(702, 891) = ( 702 x 891 ) / 23166
= 702 / 891
= 702
Step2:
LCM(27, 945) = 945
GCD(27, 945) = ( 27 x 945 ) / 945
= 27 / 945
= 27
So, Greatest Common Divisor of 702, 891, 945 is 27
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 891, 945
The greatest common divisor of numbers 702, 891, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 891, 945 is 27.
1. What is the GCD of 702, 891, 945?
GCD of given numbers 702, 891, 945 is 27
2. How to calculate the greatest common divisor of 702, 891, 945?
We can find the highest common divisor of 702, 891, 945 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 702, 891, 945 i.e 27.
3. How can I use the GCD of 702, 891, 945Calculator?
Out the numbers 702, 891, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.