Online GCD Calculator is useful to find the GCD of 744, 158, 470, 218 quickly. Get the easiest ways to solve the greatest common divisor of 744, 158, 470, 218 i.e 2 in different methods as follows.
Given Input numbers are 744, 158, 470, 218
In the factoring method, we have to find the divisors of all numbers
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 158 :
The positive integer divisors of 158 that completely divides 158 are.
1, 2, 79, 158
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
GCD of numbers is the greatest common divisor
So, the GCD (744, 158, 470, 218) = 2.
Given numbers are 744, 158, 470, 218
The list of prime factors of all numbers are
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 158 are 2 x 79
Prime factors of 470 are 2 x 5 x 47
Prime factors of 218 are 2 x 109
The highest common occurrence is 21
Therefore, GCD of 744, 158, 470, 218 is 2.
Given numbers are 744, 158, 470, 218
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 158) = 58776
GCD(744, 158) = ( 744 x 158 ) / 58776
= 744 / 158
= 744
Step2:
LCM(2, 470) = 470
GCD(2, 470) = ( 2 x 470 ) / 470
= 2 / 470
= 2
Step3:
LCM(2, 218) = 218
GCD(2, 218) = ( 2 x 218 ) / 218
= 2 / 218
= 2
So, Greatest Common Divisor of 744, 158, 470, 218 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 744, 158, 470, 218
The greatest common divisor of numbers 744, 158, 470, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 158, 470, 218 is 2.
1. What is the GCD of 744, 158, 470, 218?
GCD of given numbers 744, 158, 470, 218 is 2
2. How to calculate the greatest common divisor of 744, 158, 470, 218?
We can find the highest common divisor of 744, 158, 470, 218 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 744, 158, 470, 218 i.e 2.
3. How can I use the GCD of 744, 158, 470, 218Calculator?
Out the numbers 744, 158, 470, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.