Online GCD Calculator is useful to find the GCD of 696, 748, 305, 178 quickly. Get the easiest ways to solve the greatest common divisor of 696, 748, 305, 178 i.e 1 in different methods as follows.
Given Input numbers are 696, 748, 305, 178
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
GCD of numbers is the greatest common divisor
So, the GCD (696, 748, 305, 178) = 1.
Given numbers are 696, 748, 305, 178
The list of prime factors of all numbers are
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 305 are 5 x 61
Prime factors of 178 are 2 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 696, 748, 305, 178
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 748) = 130152
GCD(696, 748) = ( 696 x 748 ) / 130152
= 696 / 748
= 696
Step2:
LCM(4, 305) = 1220
GCD(4, 305) = ( 4 x 305 ) / 1220
= 4 / 305
= 4
Step3:
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
= 1 / 178
= 1
So, Greatest Common Divisor of 696, 748, 305, 178 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 748, 305, 178
The greatest common divisor of numbers 696, 748, 305, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 748, 305, 178 is 1.
1. What is the GCD of 696, 748, 305, 178?
GCD of given numbers 696, 748, 305, 178 is 1
2. How to calculate the greatest common divisor of 696, 748, 305, 178?
We can find the highest common divisor of 696, 748, 305, 178 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 696, 748, 305, 178 i.e 1.
3. How can I use the GCD of 696, 748, 305, 178Calculator?
Out the numbers 696, 748, 305, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.