Online GCD Calculator is useful to find the GCD of 820, 450, 430 quickly. Get the easiest ways to solve the greatest common divisor of 820, 450, 430 i.e 10 in different methods as follows.
Given Input numbers are 820, 450, 430
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
GCD of numbers is the greatest common divisor
So, the GCD (820, 450, 430) = 10.
Given numbers are 820, 450, 430
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 430 are 2 x 5 x 43
The highest common occurrence is 21 x 51
Therefore, GCD of 820, 450, 430 is 10.
Given numbers are 820, 450, 430
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 450) = 36900
GCD(820, 450) = ( 820 x 450 ) / 36900
= 820 / 450
= 820
Step2:
LCM(10, 430) = 430
GCD(10, 430) = ( 10 x 430 ) / 430
= 10 / 430
= 10
So, Greatest Common Divisor of 820, 450, 430 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 450, 430
The greatest common divisor of numbers 820, 450, 430 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 450, 430 is 10.
1. What is the GCD of 820, 450, 430?
GCD of given numbers 820, 450, 430 is 10
2. How to calculate the greatest common divisor of 820, 450, 430?
We can find the highest common divisor of 820, 450, 430 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 820, 450, 430 i.e 10.
3. How can I use the GCD of 820, 450, 430Calculator?
Out the numbers 820, 450, 430 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.