Online GCD Calculator is useful to find the GCD of 738, 747, 870, 219 quickly. Get the easiest ways to solve the greatest common divisor of 738, 747, 870, 219 i.e 3 in different methods as follows.
Given Input numbers are 738, 747, 870, 219
In the factoring method, we have to find the divisors of all numbers
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 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 219 :
The positive integer divisors of 219 that completely divides 219 are.
1, 3, 73, 219
GCD of numbers is the greatest common divisor
So, the GCD (738, 747, 870, 219) = 3.
Given numbers are 738, 747, 870, 219
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 747 are 3 x 3 x 83
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 219 are 3 x 73
The highest common occurrence is 31
Therefore, GCD of 738, 747, 870, 219 is 3.
Given numbers are 738, 747, 870, 219
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 747) = 61254
GCD(738, 747) = ( 738 x 747 ) / 61254
= 738 / 747
= 738
Step2:
LCM(9, 870) = 2610
GCD(9, 870) = ( 9 x 870 ) / 2610
= 9 / 870
= 9
Step3:
LCM(3, 219) = 219
GCD(3, 219) = ( 3 x 219 ) / 219
= 3 / 219
= 3
So, Greatest Common Divisor of 738, 747, 870, 219 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 747, 870, 219
The greatest common divisor of numbers 738, 747, 870, 219 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 747, 870, 219 is 3.
1. What is the GCD of 738, 747, 870, 219?
GCD of given numbers 738, 747, 870, 219 is 3
2. How to calculate the greatest common divisor of 738, 747, 870, 219?
We can find the highest common divisor of 738, 747, 870, 219 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 738, 747, 870, 219 i.e 3.
3. How can I use the GCD of 738, 747, 870, 219Calculator?
Out the numbers 738, 747, 870, 219 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.