Online GCD Calculator is useful to find the GCD of 621, 966, 735, 945 quickly. Get the easiest ways to solve the greatest common divisor of 621, 966, 735, 945 i.e 3 in different methods as follows.
Given Input numbers are 621, 966, 735, 945
In the factoring method, we have to find the divisors of all numbers
Divisors of 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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 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 (621, 966, 735, 945) = 3.
Given numbers are 621, 966, 735, 945
The list of prime factors of all numbers are
Prime factors of 621 are 3 x 3 x 3 x 23
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 735 are 3 x 5 x 7 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 621, 966, 735, 945 is 3.
Given numbers are 621, 966, 735, 945
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(621, 966) = 8694
GCD(621, 966) = ( 621 x 966 ) / 8694
= 621 / 966
= 621
Step2:
LCM(69, 735) = 16905
GCD(69, 735) = ( 69 x 735 ) / 16905
= 69 / 735
= 69
Step3:
LCM(3, 945) = 945
GCD(3, 945) = ( 3 x 945 ) / 945
= 3 / 945
= 3
So, Greatest Common Divisor of 621, 966, 735, 945 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 621, 966, 735, 945
The greatest common divisor of numbers 621, 966, 735, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 966, 735, 945 is 3.
1. What is the GCD of 621, 966, 735, 945?
GCD of given numbers 621, 966, 735, 945 is 3
2. How to calculate the greatest common divisor of 621, 966, 735, 945?
We can find the highest common divisor of 621, 966, 735, 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 621, 966, 735, 945 i.e 3.
3. How can I use the GCD of 621, 966, 735, 945Calculator?
Out the numbers 621, 966, 735, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.