Online GCD Calculator is useful to find the GCD of 250, 270, 670, 550 quickly. Get the easiest ways to solve the greatest common divisor of 250, 270, 670, 550 i.e 10 in different methods as follows.
Given Input numbers are 250, 270, 670, 550
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 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 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
GCD of numbers is the greatest common divisor
So, the GCD (250, 270, 670, 550) = 10.
Given numbers are 250, 270, 670, 550
The list of prime factors of all numbers are
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 670 are 2 x 5 x 67
Prime factors of 550 are 2 x 5 x 5 x 11
The highest common occurrence is 21 x 51
Therefore, GCD of 250, 270, 670, 550 is 10.
Given numbers are 250, 270, 670, 550
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(250, 270) = 6750
GCD(250, 270) = ( 250 x 270 ) / 6750
= 250 / 270
= 250
Step2:
LCM(10, 670) = 670
GCD(10, 670) = ( 10 x 670 ) / 670
= 10 / 670
= 10
Step3:
LCM(10, 550) = 550
GCD(10, 550) = ( 10 x 550 ) / 550
= 10 / 550
= 10
So, Greatest Common Divisor of 250, 270, 670, 550 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 250, 270, 670, 550
The greatest common divisor of numbers 250, 270, 670, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 270, 670, 550 is 10.
1. What is the GCD of 250, 270, 670, 550?
GCD of given numbers 250, 270, 670, 550 is 10
2. How to calculate the greatest common divisor of 250, 270, 670, 550?
We can find the highest common divisor of 250, 270, 670, 550 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, 270, 670, 550 i.e 10.
3. How can I use the GCD of 250, 270, 670, 550Calculator?
Out the numbers 250, 270, 670, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.