Online GCD Calculator is useful to find the GCD of 986, 350, 694, 716 quickly. Get the easiest ways to solve the greatest common divisor of 986, 350, 694, 716 i.e 2 in different methods as follows.
Given Input numbers are 986, 350, 694, 716
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 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (986, 350, 694, 716) = 2.
Given numbers are 986, 350, 694, 716
The list of prime factors of all numbers are
Prime factors of 986 are 2 x 17 x 29
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 694 are 2 x 347
Prime factors of 716 are 2 x 2 x 179
The highest common occurrence is 21
Therefore, GCD of 986, 350, 694, 716 is 2.
Given numbers are 986, 350, 694, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(986, 350) = 172550
GCD(986, 350) = ( 986 x 350 ) / 172550
= 986 / 350
= 986
Step2:
LCM(2, 694) = 694
GCD(2, 694) = ( 2 x 694 ) / 694
= 2 / 694
= 2
Step3:
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
= 2 / 716
= 2
So, Greatest Common Divisor of 986, 350, 694, 716 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 986, 350, 694, 716
The greatest common divisor of numbers 986, 350, 694, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 350, 694, 716 is 2.
1. What is the GCD of 986, 350, 694, 716?
GCD of given numbers 986, 350, 694, 716 is 2
2. How to calculate the greatest common divisor of 986, 350, 694, 716?
We can find the highest common divisor of 986, 350, 694, 716 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, 350, 694, 716 i.e 2.
3. How can I use the GCD of 986, 350, 694, 716Calculator?
Out the numbers 986, 350, 694, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.