Online GCD Calculator is useful to find the GCD of 150, 830, 570 quickly. Get the easiest ways to solve the greatest common divisor of 150, 830, 570 i.e 10 in different methods as follows.
Given Input numbers are 150, 830, 570
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 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
GCD of numbers is the greatest common divisor
So, the GCD (150, 830, 570) = 10.
Given numbers are 150, 830, 570
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 830 are 2 x 5 x 83
Prime factors of 570 are 2 x 3 x 5 x 19
The highest common occurrence is 21 x 51
Therefore, GCD of 150, 830, 570 is 10.
Given numbers are 150, 830, 570
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 830) = 12450
GCD(150, 830) = ( 150 x 830 ) / 12450
= 150 / 830
= 150
Step2:
LCM(10, 570) = 570
GCD(10, 570) = ( 10 x 570 ) / 570
= 10 / 570
= 10
So, Greatest Common Divisor of 150, 830, 570 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 830, 570
The greatest common divisor of numbers 150, 830, 570 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 830, 570 is 10.
1. What is the GCD of 150, 830, 570?
GCD of given numbers 150, 830, 570 is 10
2. How to calculate the greatest common divisor of 150, 830, 570?
We can find the highest common divisor of 150, 830, 570 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, 830, 570 i.e 10.
3. How can I use the GCD of 150, 830, 570Calculator?
Out the numbers 150, 830, 570 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.