GCD of 838, 508, 709 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 838, 508, 709 quickly. Get the easiest ways to solve the greatest common divisor of 838, 508, 709 i.e 1 in different methods as follows.
Given Input numbers are 838, 508, 709
In the factoring method, we have to find the divisors of all numbers
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
GCD of numbers is the greatest common divisor
So, the GCD (838, 508, 709) = 1.
Given numbers are 838, 508, 709
The list of prime factors of all numbers are
Prime factors of 838 are 2 x 419
Prime factors of 508 are 2 x 2 x 127
Prime factors of 709 are 709
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 838, 508, 709 using LCM Formula
Given numbers are 838, 508, 709
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(838, 508) = 212852
GCD(838, 508) = ( 838 x 508 ) / 212852
= 838 / 508
= 838
Step2:
LCM(2, 709) = 1418
GCD(2, 709) = ( 2 x 709 ) / 1418
= 2 / 709
= 2
So, Greatest Common Divisor of 838, 508, 709 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 838, 508, 709
Given numbers are 838, 508, 709
The greatest common divisor of numbers 838, 508, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 508, 709 is 1.
FAQs on GCD of 838, 508, 709 Calculator
1. What is the GCD of 838, 508, 709?
GCD of given numbers 838, 508, 709 is 1
2. How to calculate the greatest common divisor of 838, 508, 709?
We can find the highest common divisor of 838, 508, 709 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 838, 508, 709 i.e 1.
3. How can I use the GCD of 838, 508, 709Calculator?
Out the numbers 838, 508, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.