Online GCD Calculator is useful to find the GCD of 660, 945, 294, 753 quickly. Get the easiest ways to solve the greatest common divisor of 660, 945, 294, 753 i.e 3 in different methods as follows.
Given Input numbers are 660, 945, 294, 753
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
GCD of numbers is the greatest common divisor
So, the GCD (660, 945, 294, 753) = 3.
Given numbers are 660, 945, 294, 753
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 753 are 3 x 251
The highest common occurrence is 31
Therefore, GCD of 660, 945, 294, 753 is 3.
Given numbers are 660, 945, 294, 753
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 945) = 41580
GCD(660, 945) = ( 660 x 945 ) / 41580
= 660 / 945
= 660
Step2:
LCM(15, 294) = 1470
GCD(15, 294) = ( 15 x 294 ) / 1470
= 15 / 294
= 15
Step3:
LCM(3, 753) = 753
GCD(3, 753) = ( 3 x 753 ) / 753
= 3 / 753
= 3
So, Greatest Common Divisor of 660, 945, 294, 753 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 945, 294, 753
The greatest common divisor of numbers 660, 945, 294, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 945, 294, 753 is 3.
1. What is the GCD of 660, 945, 294, 753?
GCD of given numbers 660, 945, 294, 753 is 3
2. How to calculate the greatest common divisor of 660, 945, 294, 753?
We can find the highest common divisor of 660, 945, 294, 753 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 660, 945, 294, 753 i.e 3.
3. How can I use the GCD of 660, 945, 294, 753Calculator?
Out the numbers 660, 945, 294, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.