Online GCD Calculator is useful to find the GCD of 696, 722, 112, 418 quickly. Get the easiest ways to solve the greatest common divisor of 696, 722, 112, 418 i.e 2 in different methods as follows.
Given Input numbers are 696, 722, 112, 418
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 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
GCD of numbers is the greatest common divisor
So, the GCD (696, 722, 112, 418) = 2.
Given numbers are 696, 722, 112, 418
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 722 are 2 x 19 x 19
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 418 are 2 x 11 x 19
The highest common occurrence is 21
Therefore, GCD of 696, 722, 112, 418 is 2.
Given numbers are 696, 722, 112, 418
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 722) = 251256
GCD(696, 722) = ( 696 x 722 ) / 251256
= 696 / 722
= 696
Step2:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
Step3:
LCM(2, 418) = 418
GCD(2, 418) = ( 2 x 418 ) / 418
= 2 / 418
= 2
So, Greatest Common Divisor of 696, 722, 112, 418 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 722, 112, 418
The greatest common divisor of numbers 696, 722, 112, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 722, 112, 418 is 2.
1. What is the GCD of 696, 722, 112, 418?
GCD of given numbers 696, 722, 112, 418 is 2
2. How to calculate the greatest common divisor of 696, 722, 112, 418?
We can find the highest common divisor of 696, 722, 112, 418 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, 722, 112, 418 i.e 2.
3. How can I use the GCD of 696, 722, 112, 418Calculator?
Out the numbers 696, 722, 112, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.