Online GCD Calculator is useful to find the GCD of 712, 878, 976, 682 quickly. Get the easiest ways to solve the greatest common divisor of 712, 878, 976, 682 i.e 2 in different methods as follows.
Given Input numbers are 712, 878, 976, 682
In the factoring method, we have to find the divisors of all numbers
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (712, 878, 976, 682) = 2.
Given numbers are 712, 878, 976, 682
The list of prime factors of all numbers are
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 878 are 2 x 439
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 682 are 2 x 11 x 31
The highest common occurrence is 21
Therefore, GCD of 712, 878, 976, 682 is 2.
Given numbers are 712, 878, 976, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(712, 878) = 312568
GCD(712, 878) = ( 712 x 878 ) / 312568
= 712 / 878
= 712
Step2:
LCM(2, 976) = 976
GCD(2, 976) = ( 2 x 976 ) / 976
= 2 / 976
= 2
Step3:
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
= 2 / 682
= 2
So, Greatest Common Divisor of 712, 878, 976, 682 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 712, 878, 976, 682
The greatest common divisor of numbers 712, 878, 976, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 878, 976, 682 is 2.
1. What is the GCD of 712, 878, 976, 682?
GCD of given numbers 712, 878, 976, 682 is 2
2. How to calculate the greatest common divisor of 712, 878, 976, 682?
We can find the highest common divisor of 712, 878, 976, 682 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 712, 878, 976, 682 i.e 2.
3. How can I use the GCD of 712, 878, 976, 682Calculator?
Out the numbers 712, 878, 976, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.