Online GCD Calculator is useful to find the GCD of 814, 154, 176, 825 quickly. Get the easiest ways to solve the greatest common divisor of 814, 154, 176, 825 i.e 11 in different methods as follows.
Given Input numbers are 814, 154, 176, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
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 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (814, 154, 176, 825) = 11.
Given numbers are 814, 154, 176, 825
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 154 are 2 x 7 x 11
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 111
Therefore, GCD of 814, 154, 176, 825 is 11.
Given numbers are 814, 154, 176, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 154) = 5698
GCD(814, 154) = ( 814 x 154 ) / 5698
= 814 / 154
= 814
Step2:
LCM(22, 176) = 176
GCD(22, 176) = ( 22 x 176 ) / 176
= 22 / 176
= 22
Step3:
LCM(22, 825) = 1650
GCD(22, 825) = ( 22 x 825 ) / 1650
= 22 / 825
= 22
So, Greatest Common Divisor of 814, 154, 176, 825 is 11
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 154, 176, 825
The greatest common divisor of numbers 814, 154, 176, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 154, 176, 825 is 11.
1. What is the GCD of 814, 154, 176, 825?
GCD of given numbers 814, 154, 176, 825 is 11
2. How to calculate the greatest common divisor of 814, 154, 176, 825?
We can find the highest common divisor of 814, 154, 176, 825 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 814, 154, 176, 825 i.e 11.
3. How can I use the GCD of 814, 154, 176, 825Calculator?
Out the numbers 814, 154, 176, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.