Online GCD Calculator is useful to find the GCD of 176, 108, 772, 674 quickly. Get the easiest ways to solve the greatest common divisor of 176, 108, 772, 674 i.e 2 in different methods as follows.
Given Input numbers are 176, 108, 772, 674
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 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
GCD of numbers is the greatest common divisor
So, the GCD (176, 108, 772, 674) = 2.
Given numbers are 176, 108, 772, 674
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 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 772 are 2 x 2 x 193
Prime factors of 674 are 2 x 337
The highest common occurrence is 21
Therefore, GCD of 176, 108, 772, 674 is 2.
Given numbers are 176, 108, 772, 674
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(176, 108) = 4752
GCD(176, 108) = ( 176 x 108 ) / 4752
= 176 / 108
= 176
Step2:
LCM(4, 772) = 772
GCD(4, 772) = ( 4 x 772 ) / 772
= 4 / 772
= 4
Step3:
LCM(4, 674) = 1348
GCD(4, 674) = ( 4 x 674 ) / 1348
= 4 / 674
= 4
So, Greatest Common Divisor of 176, 108, 772, 674 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 176, 108, 772, 674
The greatest common divisor of numbers 176, 108, 772, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 108, 772, 674 is 2.
1. What is the GCD of 176, 108, 772, 674?
GCD of given numbers 176, 108, 772, 674 is 2
2. How to calculate the greatest common divisor of 176, 108, 772, 674?
We can find the highest common divisor of 176, 108, 772, 674 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, 108, 772, 674 i.e 2.
3. How can I use the GCD of 176, 108, 772, 674Calculator?
Out the numbers 176, 108, 772, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.