Online GCD Calculator is useful to find the GCD of 722, 738, 132, 222 quickly. Get the easiest ways to solve the greatest common divisor of 722, 738, 132, 222 i.e 2 in different methods as follows.
Given Input numbers are 722, 738, 132, 222
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 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
GCD of numbers is the greatest common divisor
So, the GCD (722, 738, 132, 222) = 2.
Given numbers are 722, 738, 132, 222
The list of prime factors of all numbers are
Prime factors of 722 are 2 x 19 x 19
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 222 are 2 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 722, 738, 132, 222 is 2.
Given numbers are 722, 738, 132, 222
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(722, 738) = 266418
GCD(722, 738) = ( 722 x 738 ) / 266418
= 722 / 738
= 722
Step2:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
Step3:
LCM(2, 222) = 222
GCD(2, 222) = ( 2 x 222 ) / 222
= 2 / 222
= 2
So, Greatest Common Divisor of 722, 738, 132, 222 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 722, 738, 132, 222
The greatest common divisor of numbers 722, 738, 132, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 738, 132, 222 is 2.
1. What is the GCD of 722, 738, 132, 222?
GCD of given numbers 722, 738, 132, 222 is 2
2. How to calculate the greatest common divisor of 722, 738, 132, 222?
We can find the highest common divisor of 722, 738, 132, 222 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, 738, 132, 222 i.e 2.
3. How can I use the GCD of 722, 738, 132, 222Calculator?
Out the numbers 722, 738, 132, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.