Online GCD Calculator is useful to find the GCD of 660, 882, 912, 343 quickly. Get the easiest ways to solve the greatest common divisor of 660, 882, 912, 343 i.e 1 in different methods as follows.
Given Input numbers are 660, 882, 912, 343
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 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (660, 882, 912, 343) = 1.
Given numbers are 660, 882, 912, 343
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 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 660, 882, 912, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 882) = 97020
GCD(660, 882) = ( 660 x 882 ) / 97020
= 660 / 882
= 660
Step2:
LCM(6, 912) = 912
GCD(6, 912) = ( 6 x 912 ) / 912
= 6 / 912
= 6
Step3:
LCM(6, 343) = 2058
GCD(6, 343) = ( 6 x 343 ) / 2058
= 6 / 343
= 6
So, Greatest Common Divisor of 660, 882, 912, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 882, 912, 343
The greatest common divisor of numbers 660, 882, 912, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 882, 912, 343 is 1.
1. What is the GCD of 660, 882, 912, 343?
GCD of given numbers 660, 882, 912, 343 is 1
2. How to calculate the greatest common divisor of 660, 882, 912, 343?
We can find the highest common divisor of 660, 882, 912, 343 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, 882, 912, 343 i.e 1.
3. How can I use the GCD of 660, 882, 912, 343Calculator?
Out the numbers 660, 882, 912, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.