GCD of 509, 977, 18, 118 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 509, 977, 18, 118 quickly. Get the easiest ways to solve the greatest common divisor of 509, 977, 18, 118 i.e 1 in different methods as follows.
Given Input numbers are 509, 977, 18, 118
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 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 18 :
The positive integer divisors of 18 that completely divides 18 are.
1, 2, 3, 6, 9, 18
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
GCD of numbers is the greatest common divisor
So, the GCD (509, 977, 18, 118) = 1.
Given numbers are 509, 977, 18, 118
The list of prime factors of all numbers are
Prime factors of 509 are 509
Prime factors of 977 are 977
Prime factors of 18 are 2 x 3 x 3
Prime factors of 118 are 2 x 59
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 509, 977, 18, 118 using LCM Formula
Given numbers are 509, 977, 18, 118
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(509, 977) = 497293
GCD(509, 977) = ( 509 x 977 ) / 497293
= 509 / 977
= 509
Step2:
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
= 1 / 18
= 1
Step3:
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
= 1 / 118
= 1
So, Greatest Common Divisor of 509, 977, 18, 118 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 509, 977, 18, 118
Given numbers are 509, 977, 18, 118
The greatest common divisor of numbers 509, 977, 18, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 977, 18, 118 is 1.
FAQs on GCD of 509, 977, 18, 118 Calculator
1. What is the GCD of 509, 977, 18, 118?
GCD of given numbers 509, 977, 18, 118 is 1
2. How to calculate the greatest common divisor of 509, 977, 18, 118?
We can find the highest common divisor of 509, 977, 18, 118 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, 977, 18, 118 i.e 1.
3. How can I use the GCD of 509, 977, 18, 118Calculator?
Out the numbers 509, 977, 18, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.