Online GCD Calculator is useful to find the GCD of 920, 130, 966, 714 quickly. Get the easiest ways to solve the greatest common divisor of 920, 130, 966, 714 i.e 2 in different methods as follows.
Given Input numbers are 920, 130, 966, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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 (920, 130, 966, 714) = 2.
Given numbers are 920, 130, 966, 714
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 130 are 2 x 5 x 13
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 920, 130, 966, 714 is 2.
Given numbers are 920, 130, 966, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 130) = 11960
GCD(920, 130) = ( 920 x 130 ) / 11960
= 920 / 130
= 920
Step2:
LCM(10, 966) = 4830
GCD(10, 966) = ( 10 x 966 ) / 4830
= 10 / 966
= 10
Step3:
LCM(2, 714) = 714
GCD(2, 714) = ( 2 x 714 ) / 714
= 2 / 714
= 2
So, Greatest Common Divisor of 920, 130, 966, 714 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 130, 966, 714
The greatest common divisor of numbers 920, 130, 966, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 130, 966, 714 is 2.
1. What is the GCD of 920, 130, 966, 714?
GCD of given numbers 920, 130, 966, 714 is 2
2. How to calculate the greatest common divisor of 920, 130, 966, 714?
We can find the highest common divisor of 920, 130, 966, 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 920, 130, 966, 714 i.e 2.
3. How can I use the GCD of 920, 130, 966, 714Calculator?
Out the numbers 920, 130, 966, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.