Online GCD Calculator is useful to find the GCD of 986, 386, 355, 742 quickly. Get the easiest ways to solve the greatest common divisor of 986, 386, 355, 742 i.e 1 in different methods as follows.
Given Input numbers are 986, 386, 355, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
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 (986, 386, 355, 742) = 1.
Given numbers are 986, 386, 355, 742
The list of prime factors of all numbers are
Prime factors of 986 are 2 x 17 x 29
Prime factors of 386 are 2 x 193
Prime factors of 355 are 5 x 71
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 986, 386, 355, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(986, 386) = 190298
GCD(986, 386) = ( 986 x 386 ) / 190298
= 986 / 386
= 986
Step2:
LCM(2, 355) = 710
GCD(2, 355) = ( 2 x 355 ) / 710
= 2 / 355
= 2
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 986, 386, 355, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 986, 386, 355, 742
The greatest common divisor of numbers 986, 386, 355, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 386, 355, 742 is 1.
1. What is the GCD of 986, 386, 355, 742?
GCD of given numbers 986, 386, 355, 742 is 1
2. How to calculate the greatest common divisor of 986, 386, 355, 742?
We can find the highest common divisor of 986, 386, 355, 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 986, 386, 355, 742 i.e 1.
3. How can I use the GCD of 986, 386, 355, 742Calculator?
Out the numbers 986, 386, 355, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.