Online GCD Calculator is useful to find the GCD of 982, 796, 752, 714 quickly. Get the easiest ways to solve the greatest common divisor of 982, 796, 752, 714 i.e 2 in different methods as follows.
Given Input numbers are 982, 796, 752, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (982, 796, 752, 714) = 2.
Given numbers are 982, 796, 752, 714
The list of prime factors of all numbers are
Prime factors of 982 are 2 x 491
Prime factors of 796 are 2 x 2 x 199
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 982, 796, 752, 714 is 2.
Given numbers are 982, 796, 752, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(982, 796) = 390836
GCD(982, 796) = ( 982 x 796 ) / 390836
= 982 / 796
= 982
Step2:
LCM(2, 752) = 752
GCD(2, 752) = ( 2 x 752 ) / 752
= 2 / 752
= 2
Step3:
LCM(2, 714) = 714
GCD(2, 714) = ( 2 x 714 ) / 714
= 2 / 714
= 2
So, Greatest Common Divisor of 982, 796, 752, 714 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 982, 796, 752, 714
The greatest common divisor of numbers 982, 796, 752, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 796, 752, 714 is 2.
1. What is the GCD of 982, 796, 752, 714?
GCD of given numbers 982, 796, 752, 714 is 2
2. How to calculate the greatest common divisor of 982, 796, 752, 714?
We can find the highest common divisor of 982, 796, 752, 714 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 982, 796, 752, 714 i.e 2.
3. How can I use the GCD of 982, 796, 752, 714Calculator?
Out the numbers 982, 796, 752, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.