Online GCD Calculator is useful to find the GCD of 150, 800, 780, 536 quickly. Get the easiest ways to solve the greatest common divisor of 150, 800, 780, 536 i.e 2 in different methods as follows.
Given Input numbers are 150, 800, 780, 536
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
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 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
GCD of numbers is the greatest common divisor
So, the GCD (150, 800, 780, 536) = 2.
Given numbers are 150, 800, 780, 536
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 536 are 2 x 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 150, 800, 780, 536 is 2.
Given numbers are 150, 800, 780, 536
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 800) = 2400
GCD(150, 800) = ( 150 x 800 ) / 2400
= 150 / 800
= 150
Step2:
LCM(50, 780) = 3900
GCD(50, 780) = ( 50 x 780 ) / 3900
= 50 / 780
= 50
Step3:
LCM(10, 536) = 2680
GCD(10, 536) = ( 10 x 536 ) / 2680
= 10 / 536
= 10
So, Greatest Common Divisor of 150, 800, 780, 536 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 800, 780, 536
The greatest common divisor of numbers 150, 800, 780, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 800, 780, 536 is 2.
1. What is the GCD of 150, 800, 780, 536?
GCD of given numbers 150, 800, 780, 536 is 2
2. How to calculate the greatest common divisor of 150, 800, 780, 536?
We can find the highest common divisor of 150, 800, 780, 536 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 150, 800, 780, 536 i.e 2.
3. How can I use the GCD of 150, 800, 780, 536Calculator?
Out the numbers 150, 800, 780, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.