Online GCD Calculator is useful to find the GCD of 284, 214, 770, 738 quickly. Get the easiest ways to solve the greatest common divisor of 284, 214, 770, 738 i.e 2 in different methods as follows.
Given Input numbers are 284, 214, 770, 738
In the factoring method, we have to find the divisors of all numbers
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
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
GCD of numbers is the greatest common divisor
So, the GCD (284, 214, 770, 738) = 2.
Given numbers are 284, 214, 770, 738
The list of prime factors of all numbers are
Prime factors of 284 are 2 x 2 x 71
Prime factors of 214 are 2 x 107
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 738 are 2 x 3 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 284, 214, 770, 738 is 2.
Given numbers are 284, 214, 770, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(284, 214) = 30388
GCD(284, 214) = ( 284 x 214 ) / 30388
= 284 / 214
= 284
Step2:
LCM(2, 770) = 770
GCD(2, 770) = ( 2 x 770 ) / 770
= 2 / 770
= 2
Step3:
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
= 2 / 738
= 2
So, Greatest Common Divisor of 284, 214, 770, 738 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 284, 214, 770, 738
The greatest common divisor of numbers 284, 214, 770, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 214, 770, 738 is 2.
1. What is the GCD of 284, 214, 770, 738?
GCD of given numbers 284, 214, 770, 738 is 2
2. How to calculate the greatest common divisor of 284, 214, 770, 738?
We can find the highest common divisor of 284, 214, 770, 738 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 284, 214, 770, 738 i.e 2.
3. How can I use the GCD of 284, 214, 770, 738Calculator?
Out the numbers 284, 214, 770, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.