Online GCD Calculator is useful to find the GCD of 660, 571, 816, 742 quickly. Get the easiest ways to solve the greatest common divisor of 660, 571, 816, 742 i.e 1 in different methods as follows.
Given Input numbers are 660, 571, 816, 742
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 571 :
The positive integer divisors of 571 that completely divides 571 are.
1, 571
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (660, 571, 816, 742) = 1.
Given numbers are 660, 571, 816, 742
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 571 are 571
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 660, 571, 816, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 571) = 376860
GCD(660, 571) = ( 660 x 571 ) / 376860
= 660 / 571
= 660
Step2:
LCM(1, 816) = 816
GCD(1, 816) = ( 1 x 816 ) / 816
= 1 / 816
= 1
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 660, 571, 816, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 571, 816, 742
The greatest common divisor of numbers 660, 571, 816, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 571, 816, 742 is 1.
1. What is the GCD of 660, 571, 816, 742?
GCD of given numbers 660, 571, 816, 742 is 1
2. How to calculate the greatest common divisor of 660, 571, 816, 742?
We can find the highest common divisor of 660, 571, 816, 742 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, 571, 816, 742 i.e 1.
3. How can I use the GCD of 660, 571, 816, 742Calculator?
Out the numbers 660, 571, 816, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.