GCD of 149, 684, 509 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 149, 684, 509 quickly. Get the easiest ways to solve the greatest common divisor of 149, 684, 509 i.e 1 in different methods as follows.
Given Input numbers are 149, 684, 509
In the factoring method, we have to find the divisors of all numbers
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
GCD of numbers is the greatest common divisor
So, the GCD (149, 684, 509) = 1.
Given numbers are 149, 684, 509
The list of prime factors of all numbers are
Prime factors of 149 are 149
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 509 are 509
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 149, 684, 509 using LCM Formula
Given numbers are 149, 684, 509
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(149, 684) = 101916
GCD(149, 684) = ( 149 x 684 ) / 101916
= 149 / 684
= 149
Step2:
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
= 1 / 509
= 1
So, Greatest Common Divisor of 149, 684, 509 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 149, 684, 509
Given numbers are 149, 684, 509
The greatest common divisor of numbers 149, 684, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 684, 509 is 1.
FAQs on GCD of 149, 684, 509 Calculator
1. What is the GCD of 149, 684, 509?
GCD of given numbers 149, 684, 509 is 1
2. How to calculate the greatest common divisor of 149, 684, 509?
We can find the highest common divisor of 149, 684, 509 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 149, 684, 509 i.e 1.
3. How can I use the GCD of 149, 684, 509Calculator?
Out the numbers 149, 684, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.