Online GCD Calculator is useful to find the GCD of 696, 814, 790, 162 quickly. Get the easiest ways to solve the greatest common divisor of 696, 814, 790, 162 i.e 2 in different methods as follows.
Given Input numbers are 696, 814, 790, 162
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 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (696, 814, 790, 162) = 2.
Given numbers are 696, 814, 790, 162
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 814 are 2 x 11 x 37
Prime factors of 790 are 2 x 5 x 79
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 696, 814, 790, 162 is 2.
Given numbers are 696, 814, 790, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 814) = 283272
GCD(696, 814) = ( 696 x 814 ) / 283272
= 696 / 814
= 696
Step2:
LCM(2, 790) = 790
GCD(2, 790) = ( 2 x 790 ) / 790
= 2 / 790
= 2
Step3:
LCM(2, 162) = 162
GCD(2, 162) = ( 2 x 162 ) / 162
= 2 / 162
= 2
So, Greatest Common Divisor of 696, 814, 790, 162 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 814, 790, 162
The greatest common divisor of numbers 696, 814, 790, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 814, 790, 162 is 2.
1. What is the GCD of 696, 814, 790, 162?
GCD of given numbers 696, 814, 790, 162 is 2
2. How to calculate the greatest common divisor of 696, 814, 790, 162?
We can find the highest common divisor of 696, 814, 790, 162 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, 814, 790, 162 i.e 2.
3. How can I use the GCD of 696, 814, 790, 162Calculator?
Out the numbers 696, 814, 790, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.