Online GCD Calculator is useful to find the GCD of 268, 772, 176, 238 quickly. Get the easiest ways to solve the greatest common divisor of 268, 772, 176, 238 i.e 2 in different methods as follows.
Given Input numbers are 268, 772, 176, 238
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
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 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (268, 772, 176, 238) = 2.
Given numbers are 268, 772, 176, 238
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 772 are 2 x 2 x 193
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 238 are 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 268, 772, 176, 238 is 2.
Given numbers are 268, 772, 176, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 772) = 51724
GCD(268, 772) = ( 268 x 772 ) / 51724
= 268 / 772
= 268
Step2:
LCM(4, 176) = 176
GCD(4, 176) = ( 4 x 176 ) / 176
= 4 / 176
= 4
Step3:
LCM(4, 238) = 476
GCD(4, 238) = ( 4 x 238 ) / 476
= 4 / 238
= 4
So, Greatest Common Divisor of 268, 772, 176, 238 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 772, 176, 238
The greatest common divisor of numbers 268, 772, 176, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 772, 176, 238 is 2.
1. What is the GCD of 268, 772, 176, 238?
GCD of given numbers 268, 772, 176, 238 is 2
2. How to calculate the greatest common divisor of 268, 772, 176, 238?
We can find the highest common divisor of 268, 772, 176, 238 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 268, 772, 176, 238 i.e 2.
3. How can I use the GCD of 268, 772, 176, 238Calculator?
Out the numbers 268, 772, 176, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.