Online GCD Calculator is useful to find the GCD of 738, 921, 780, 465 quickly. Get the easiest ways to solve the greatest common divisor of 738, 921, 780, 465 i.e 3 in different methods as follows.
Given Input numbers are 738, 921, 780, 465
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 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
GCD of numbers is the greatest common divisor
So, the GCD (738, 921, 780, 465) = 3.
Given numbers are 738, 921, 780, 465
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 921 are 3 x 307
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 465 are 3 x 5 x 31
The highest common occurrence is 31
Therefore, GCD of 738, 921, 780, 465 is 3.
Given numbers are 738, 921, 780, 465
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 921) = 226566
GCD(738, 921) = ( 738 x 921 ) / 226566
= 738 / 921
= 738
Step2:
LCM(3, 780) = 780
GCD(3, 780) = ( 3 x 780 ) / 780
= 3 / 780
= 3
Step3:
LCM(3, 465) = 465
GCD(3, 465) = ( 3 x 465 ) / 465
= 3 / 465
= 3
So, Greatest Common Divisor of 738, 921, 780, 465 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 921, 780, 465
The greatest common divisor of numbers 738, 921, 780, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 921, 780, 465 is 3.
1. What is the GCD of 738, 921, 780, 465?
GCD of given numbers 738, 921, 780, 465 is 3
2. How to calculate the greatest common divisor of 738, 921, 780, 465?
We can find the highest common divisor of 738, 921, 780, 465 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, 921, 780, 465 i.e 3.
3. How can I use the GCD of 738, 921, 780, 465Calculator?
Out the numbers 738, 921, 780, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.