GCD of 100, 509, 42 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 100, 509, 42 quickly. Get the easiest ways to solve the greatest common divisor of 100, 509, 42 i.e 1 in different methods as follows.
Given Input numbers are 100, 509, 42
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
GCD of numbers is the greatest common divisor
So, the GCD (100, 509, 42) = 1.
Given numbers are 100, 509, 42
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 509 are 509
Prime factors of 42 are 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 100, 509, 42 using LCM Formula
Given numbers are 100, 509, 42
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 509) = 50900
GCD(100, 509) = ( 100 x 509 ) / 50900
= 100 / 509
= 100
Step2:
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
= 1 / 42
= 1
So, Greatest Common Divisor of 100, 509, 42 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 100, 509, 42
Given numbers are 100, 509, 42
The greatest common divisor of numbers 100, 509, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 509, 42 is 1.
FAQs on GCD of 100, 509, 42 Calculator
1. What is the GCD of 100, 509, 42?
GCD of given numbers 100, 509, 42 is 1
2. How to calculate the greatest common divisor of 100, 509, 42?
We can find the highest common divisor of 100, 509, 42 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 100, 509, 42 i.e 1.
3. How can I use the GCD of 100, 509, 42Calculator?
Out the numbers 100, 509, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.