Online GCD Calculator is useful to find the GCD of 250, 570, 920 quickly. Get the easiest ways to solve the greatest common divisor of 250, 570, 920 i.e 10 in different methods as follows.
Given Input numbers are 250, 570, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
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
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (250, 570, 920) = 10.
Given numbers are 250, 570, 920
The list of prime factors of all numbers are
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 21 x 51
Therefore, GCD of 250, 570, 920 is 10.
Given numbers are 250, 570, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(250, 570) = 14250
GCD(250, 570) = ( 250 x 570 ) / 14250
= 250 / 570
= 250
Step2:
LCM(10, 920) = 920
GCD(10, 920) = ( 10 x 920 ) / 920
= 10 / 920
= 10
So, Greatest Common Divisor of 250, 570, 920 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 250, 570, 920
The greatest common divisor of numbers 250, 570, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 570, 920 is 10.
1. What is the GCD of 250, 570, 920?
GCD of given numbers 250, 570, 920 is 10
2. How to calculate the greatest common divisor of 250, 570, 920?
We can find the highest common divisor of 250, 570, 920 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 250, 570, 920 i.e 10.
3. How can I use the GCD of 250, 570, 920Calculator?
Out the numbers 250, 570, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.