Online GCD Calculator is useful to find the GCD of 774, 270, 747, 210 quickly. Get the easiest ways to solve the greatest common divisor of 774, 270, 747, 210 i.e 3 in different methods as follows.
Given Input numbers are 774, 270, 747, 210
In the factoring method, we have to find the divisors of all numbers
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
GCD of numbers is the greatest common divisor
So, the GCD (774, 270, 747, 210) = 3.
Given numbers are 774, 270, 747, 210
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 747 are 3 x 3 x 83
Prime factors of 210 are 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 774, 270, 747, 210 is 3.
Given numbers are 774, 270, 747, 210
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 270) = 11610
GCD(774, 270) = ( 774 x 270 ) / 11610
= 774 / 270
= 774
Step2:
LCM(18, 747) = 1494
GCD(18, 747) = ( 18 x 747 ) / 1494
= 18 / 747
= 18
Step3:
LCM(9, 210) = 630
GCD(9, 210) = ( 9 x 210 ) / 630
= 9 / 210
= 9
So, Greatest Common Divisor of 774, 270, 747, 210 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 774, 270, 747, 210
The greatest common divisor of numbers 774, 270, 747, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 270, 747, 210 is 3.
1. What is the GCD of 774, 270, 747, 210?
GCD of given numbers 774, 270, 747, 210 is 3
2. How to calculate the greatest common divisor of 774, 270, 747, 210?
We can find the highest common divisor of 774, 270, 747, 210 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 774, 270, 747, 210 i.e 3.
3. How can I use the GCD of 774, 270, 747, 210Calculator?
Out the numbers 774, 270, 747, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.