Online GCD Calculator is useful to find the GCD of 756, 692, 706, 916 quickly. Get the easiest ways to solve the greatest common divisor of 756, 692, 706, 916 i.e 2 in different methods as follows.
Given Input numbers are 756, 692, 706, 916
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (756, 692, 706, 916) = 2.
Given numbers are 756, 692, 706, 916
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 692 are 2 x 2 x 173
Prime factors of 706 are 2 x 353
Prime factors of 916 are 2 x 2 x 229
The highest common occurrence is 21
Therefore, GCD of 756, 692, 706, 916 is 2.
Given numbers are 756, 692, 706, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 692) = 130788
GCD(756, 692) = ( 756 x 692 ) / 130788
= 756 / 692
= 756
Step2:
LCM(4, 706) = 1412
GCD(4, 706) = ( 4 x 706 ) / 1412
= 4 / 706
= 4
Step3:
LCM(2, 916) = 916
GCD(2, 916) = ( 2 x 916 ) / 916
= 2 / 916
= 2
So, Greatest Common Divisor of 756, 692, 706, 916 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 692, 706, 916
The greatest common divisor of numbers 756, 692, 706, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 692, 706, 916 is 2.
1. What is the GCD of 756, 692, 706, 916?
GCD of given numbers 756, 692, 706, 916 is 2
2. How to calculate the greatest common divisor of 756, 692, 706, 916?
We can find the highest common divisor of 756, 692, 706, 916 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 756, 692, 706, 916 i.e 2.
3. How can I use the GCD of 756, 692, 706, 916Calculator?
Out the numbers 756, 692, 706, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.