Online GCD Calculator is useful to find the GCD of 756, 166, 758, 752 quickly. Get the easiest ways to solve the greatest common divisor of 756, 166, 758, 752 i.e 2 in different methods as follows.
Given Input numbers are 756, 166, 758, 752
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 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
GCD of numbers is the greatest common divisor
So, the GCD (756, 166, 758, 752) = 2.
Given numbers are 756, 166, 758, 752
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 166 are 2 x 83
Prime factors of 758 are 2 x 379
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
The highest common occurrence is 21
Therefore, GCD of 756, 166, 758, 752 is 2.
Given numbers are 756, 166, 758, 752
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 166) = 62748
GCD(756, 166) = ( 756 x 166 ) / 62748
= 756 / 166
= 756
Step2:
LCM(2, 758) = 758
GCD(2, 758) = ( 2 x 758 ) / 758
= 2 / 758
= 2
Step3:
LCM(2, 752) = 752
GCD(2, 752) = ( 2 x 752 ) / 752
= 2 / 752
= 2
So, Greatest Common Divisor of 756, 166, 758, 752 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 166, 758, 752
The greatest common divisor of numbers 756, 166, 758, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 166, 758, 752 is 2.
1. What is the GCD of 756, 166, 758, 752?
GCD of given numbers 756, 166, 758, 752 is 2
2. How to calculate the greatest common divisor of 756, 166, 758, 752?
We can find the highest common divisor of 756, 166, 758, 752 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, 166, 758, 752 i.e 2.
3. How can I use the GCD of 756, 166, 758, 752Calculator?
Out the numbers 756, 166, 758, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.