Online GCD Calculator is useful to find the GCD of 176, 734, 652, 696 quickly. Get the easiest ways to solve the greatest common divisor of 176, 734, 652, 696 i.e 2 in different methods as follows.
Given Input numbers are 176, 734, 652, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (176, 734, 652, 696) = 2.
Given numbers are 176, 734, 652, 696
The list of prime factors of all numbers are
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 734 are 2 x 367
Prime factors of 652 are 2 x 2 x 163
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 176, 734, 652, 696 is 2.
Given numbers are 176, 734, 652, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(176, 734) = 64592
GCD(176, 734) = ( 176 x 734 ) / 64592
= 176 / 734
= 176
Step2:
LCM(2, 652) = 652
GCD(2, 652) = ( 2 x 652 ) / 652
= 2 / 652
= 2
Step3:
LCM(2, 696) = 696
GCD(2, 696) = ( 2 x 696 ) / 696
= 2 / 696
= 2
So, Greatest Common Divisor of 176, 734, 652, 696 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 176, 734, 652, 696
The greatest common divisor of numbers 176, 734, 652, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 734, 652, 696 is 2.
1. What is the GCD of 176, 734, 652, 696?
GCD of given numbers 176, 734, 652, 696 is 2
2. How to calculate the greatest common divisor of 176, 734, 652, 696?
We can find the highest common divisor of 176, 734, 652, 696 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 176, 734, 652, 696 i.e 2.
3. How can I use the GCD of 176, 734, 652, 696Calculator?
Out the numbers 176, 734, 652, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.