Online GCD Calculator is useful to find the GCD of 780, 400, 270, 765 quickly. Get the easiest ways to solve the greatest common divisor of 780, 400, 270, 765 i.e 5 in different methods as follows.
Given Input numbers are 780, 400, 270, 765
In the factoring method, we have to find the divisors of all numbers
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 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (780, 400, 270, 765) = 5.
Given numbers are 780, 400, 270, 765
The list of prime factors of all numbers are
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 51
Therefore, GCD of 780, 400, 270, 765 is 5.
Given numbers are 780, 400, 270, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 400) = 15600
GCD(780, 400) = ( 780 x 400 ) / 15600
= 780 / 400
= 780
Step2:
LCM(20, 270) = 540
GCD(20, 270) = ( 20 x 270 ) / 540
= 20 / 270
= 20
Step3:
LCM(10, 765) = 1530
GCD(10, 765) = ( 10 x 765 ) / 1530
= 10 / 765
= 10
So, Greatest Common Divisor of 780, 400, 270, 765 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 400, 270, 765
The greatest common divisor of numbers 780, 400, 270, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 400, 270, 765 is 5.
1. What is the GCD of 780, 400, 270, 765?
GCD of given numbers 780, 400, 270, 765 is 5
2. How to calculate the greatest common divisor of 780, 400, 270, 765?
We can find the highest common divisor of 780, 400, 270, 765 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 780, 400, 270, 765 i.e 5.
3. How can I use the GCD of 780, 400, 270, 765Calculator?
Out the numbers 780, 400, 270, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.