Online GCD Calculator is useful to find the GCD of 171, 250, 420, 260 quickly. Get the easiest ways to solve the greatest common divisor of 171, 250, 420, 260 i.e 1 in different methods as follows.
Given Input numbers are 171, 250, 420, 260
In the factoring method, we have to find the divisors of all numbers
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
GCD of numbers is the greatest common divisor
So, the GCD (171, 250, 420, 260) = 1.
Given numbers are 171, 250, 420, 260
The list of prime factors of all numbers are
Prime factors of 171 are 3 x 3 x 19
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 260 are 2 x 2 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 171, 250, 420, 260
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(171, 250) = 42750
GCD(171, 250) = ( 171 x 250 ) / 42750
= 171 / 250
= 171
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
= 1 / 260
= 1
So, Greatest Common Divisor of 171, 250, 420, 260 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 171, 250, 420, 260
The greatest common divisor of numbers 171, 250, 420, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 250, 420, 260 is 1.
1. What is the GCD of 171, 250, 420, 260?
GCD of given numbers 171, 250, 420, 260 is 1
2. How to calculate the greatest common divisor of 171, 250, 420, 260?
We can find the highest common divisor of 171, 250, 420, 260 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 171, 250, 420, 260 i.e 1.
3. How can I use the GCD of 171, 250, 420, 260Calculator?
Out the numbers 171, 250, 420, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.