Online GCD Calculator is useful to find the GCD of 509, 449, 140 quickly. Get the easiest ways to solve the greatest common divisor of 509, 449, 140 i.e 1 in different methods as follows.
Given Input numbers are 509, 449, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 449 :
The positive integer divisors of 449 that completely divides 449 are.
1, 449
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (509, 449, 140) = 1.
Given numbers are 509, 449, 140
The list of prime factors of all numbers are
Prime factors of 509 are 509
Prime factors of 449 are 449
Prime factors of 140 are 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 509, 449, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(509, 449) = 228541
GCD(509, 449) = ( 509 x 449 ) / 228541
= 509 / 449
= 509
Step2:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 509, 449, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 509, 449, 140
The greatest common divisor of numbers 509, 449, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 449, 140 is 1.
1. What is the GCD of 509, 449, 140?
GCD of given numbers 509, 449, 140 is 1
2. How to calculate the greatest common divisor of 509, 449, 140?
We can find the highest common divisor of 509, 449, 140 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 509, 449, 140 i.e 1.
3. How can I use the GCD of 509, 449, 140Calculator?
Out the numbers 509, 449, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.