Online GCD Calculator is useful to find the GCD of 722, 232, 426, 702 quickly. Get the easiest ways to solve the greatest common divisor of 722, 232, 426, 702 i.e 2 in different methods as follows.
Given Input numbers are 722, 232, 426, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (722, 232, 426, 702) = 2.
Given numbers are 722, 232, 426, 702
The list of prime factors of all numbers are
Prime factors of 722 are 2 x 19 x 19
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 426 are 2 x 3 x 71
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 722, 232, 426, 702 is 2.
Given numbers are 722, 232, 426, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(722, 232) = 83752
GCD(722, 232) = ( 722 x 232 ) / 83752
= 722 / 232
= 722
Step2:
LCM(2, 426) = 426
GCD(2, 426) = ( 2 x 426 ) / 426
= 2 / 426
= 2
Step3:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
So, Greatest Common Divisor of 722, 232, 426, 702 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 722, 232, 426, 702
The greatest common divisor of numbers 722, 232, 426, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 232, 426, 702 is 2.
1. What is the GCD of 722, 232, 426, 702?
GCD of given numbers 722, 232, 426, 702 is 2
2. How to calculate the greatest common divisor of 722, 232, 426, 702?
We can find the highest common divisor of 722, 232, 426, 702 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 722, 232, 426, 702 i.e 2.
3. How can I use the GCD of 722, 232, 426, 702Calculator?
Out the numbers 722, 232, 426, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.