Online GCD Calculator is useful to find the GCD of 660, 117, 947, 714 quickly. Get the easiest ways to solve the greatest common divisor of 660, 117, 947, 714 i.e 1 in different methods as follows.
Given Input numbers are 660, 117, 947, 714
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 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 947 :
The positive integer divisors of 947 that completely divides 947 are.
1, 947
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (660, 117, 947, 714) = 1.
Given numbers are 660, 117, 947, 714
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 117 are 3 x 3 x 13
Prime factors of 947 are 947
Prime factors of 714 are 2 x 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 660, 117, 947, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 117) = 25740
GCD(660, 117) = ( 660 x 117 ) / 25740
= 660 / 117
= 660
Step2:
LCM(3, 947) = 2841
GCD(3, 947) = ( 3 x 947 ) / 2841
= 3 / 947
= 3
Step3:
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
= 1 / 714
= 1
So, Greatest Common Divisor of 660, 117, 947, 714 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 117, 947, 714
The greatest common divisor of numbers 660, 117, 947, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 117, 947, 714 is 1.
1. What is the GCD of 660, 117, 947, 714?
GCD of given numbers 660, 117, 947, 714 is 1
2. How to calculate the greatest common divisor of 660, 117, 947, 714?
We can find the highest common divisor of 660, 117, 947, 714 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, 117, 947, 714 i.e 1.
3. How can I use the GCD of 660, 117, 947, 714Calculator?
Out the numbers 660, 117, 947, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.