Online GCD Calculator is useful to find the GCD of 708, 927, 630, 945 quickly. Get the easiest ways to solve the greatest common divisor of 708, 927, 630, 945 i.e 3 in different methods as follows.
Given Input numbers are 708, 927, 630, 945
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
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 (708, 927, 630, 945) = 3.
Given numbers are 708, 927, 630, 945
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 927 are 3 x 3 x 103
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 708, 927, 630, 945 is 3.
Given numbers are 708, 927, 630, 945
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 927) = 218772
GCD(708, 927) = ( 708 x 927 ) / 218772
= 708 / 927
= 708
Step2:
LCM(3, 630) = 630
GCD(3, 630) = ( 3 x 630 ) / 630
= 3 / 630
= 3
Step3:
LCM(3, 945) = 945
GCD(3, 945) = ( 3 x 945 ) / 945
= 3 / 945
= 3
So, Greatest Common Divisor of 708, 927, 630, 945 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 927, 630, 945
The greatest common divisor of numbers 708, 927, 630, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 927, 630, 945 is 3.
1. What is the GCD of 708, 927, 630, 945?
GCD of given numbers 708, 927, 630, 945 is 3
2. How to calculate the greatest common divisor of 708, 927, 630, 945?
We can find the highest common divisor of 708, 927, 630, 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 708, 927, 630, 945 i.e 3.
3. How can I use the GCD of 708, 927, 630, 945Calculator?
Out the numbers 708, 927, 630, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.