Online GCD Calculator is useful to find the GCD of 657, 488, 993, 742 quickly. Get the easiest ways to solve the greatest common divisor of 657, 488, 993, 742 i.e 1 in different methods as follows.
Given Input numbers are 657, 488, 993, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
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 (657, 488, 993, 742) = 1.
Given numbers are 657, 488, 993, 742
The list of prime factors of all numbers are
Prime factors of 657 are 3 x 3 x 73
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 993 are 3 x 331
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 657, 488, 993, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(657, 488) = 320616
GCD(657, 488) = ( 657 x 488 ) / 320616
= 657 / 488
= 657
Step2:
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
= 1 / 993
= 1
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 657, 488, 993, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 657, 488, 993, 742
The greatest common divisor of numbers 657, 488, 993, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 488, 993, 742 is 1.
1. What is the GCD of 657, 488, 993, 742?
GCD of given numbers 657, 488, 993, 742 is 1
2. How to calculate the greatest common divisor of 657, 488, 993, 742?
We can find the highest common divisor of 657, 488, 993, 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 657, 488, 993, 742 i.e 1.
3. How can I use the GCD of 657, 488, 993, 742Calculator?
Out the numbers 657, 488, 993, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.