Online GCD Calculator is useful to find the GCD of 716, 956, 706, 126 quickly. Get the easiest ways to solve the greatest common divisor of 716, 956, 706, 126 i.e 2 in different methods as follows.
Given Input numbers are 716, 956, 706, 126
In the factoring method, we have to find the divisors of all numbers
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (716, 956, 706, 126) = 2.
Given numbers are 716, 956, 706, 126
The list of prime factors of all numbers are
Prime factors of 716 are 2 x 2 x 179
Prime factors of 956 are 2 x 2 x 239
Prime factors of 706 are 2 x 353
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 716, 956, 706, 126 is 2.
Given numbers are 716, 956, 706, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(716, 956) = 171124
GCD(716, 956) = ( 716 x 956 ) / 171124
= 716 / 956
= 716
Step2:
LCM(4, 706) = 1412
GCD(4, 706) = ( 4 x 706 ) / 1412
= 4 / 706
= 4
Step3:
LCM(2, 126) = 126
GCD(2, 126) = ( 2 x 126 ) / 126
= 2 / 126
= 2
So, Greatest Common Divisor of 716, 956, 706, 126 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 716, 956, 706, 126
The greatest common divisor of numbers 716, 956, 706, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 956, 706, 126 is 2.
1. What is the GCD of 716, 956, 706, 126?
GCD of given numbers 716, 956, 706, 126 is 2
2. How to calculate the greatest common divisor of 716, 956, 706, 126?
We can find the highest common divisor of 716, 956, 706, 126 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 716, 956, 706, 126 i.e 2.
3. How can I use the GCD of 716, 956, 706, 126Calculator?
Out the numbers 716, 956, 706, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.