GCD of 413, 847, 42 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 413, 847, 42 quickly. Get the easiest ways to solve the greatest common divisor of 413, 847, 42 i.e 7 in different methods as follows.
Given Input numbers are 413, 847, 42
In the factoring method, we have to find the divisors of all numbers
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
Divisors of 847 :
The positive integer divisors of 847 that completely divides 847 are.
1, 7, 11, 77, 121, 847
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 (413, 847, 42) = 7.
Given numbers are 413, 847, 42
The list of prime factors of all numbers are
Prime factors of 413 are 7 x 59
Prime factors of 847 are 7 x 11 x 11
Prime factors of 42 are 2 x 3 x 7
The highest common occurrence is 71
Therefore, GCD of 413, 847, 42 is 7.
Steps to Calculate GCD of 413, 847, 42 using LCM Formula
Given numbers are 413, 847, 42
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(413, 847) = 49973
GCD(413, 847) = ( 413 x 847 ) / 49973
= 413 / 847
= 413
Step2:
LCM(7, 42) = 42
GCD(7, 42) = ( 7 x 42 ) / 42
= 7 / 42
= 7
So, Greatest Common Divisor of 413, 847, 42 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 413, 847, 42
Given numbers are 413, 847, 42
The greatest common divisor of numbers 413, 847, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 413, 847, 42 is 7.
FAQs on GCD of 413, 847, 42 Calculator
1. What is the GCD of 413, 847, 42?
GCD of given numbers 413, 847, 42 is 7
2. How to calculate the greatest common divisor of 413, 847, 42?
We can find the highest common divisor of 413, 847, 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 413, 847, 42 i.e 7.
3. How can I use the GCD of 413, 847, 42Calculator?
Out the numbers 413, 847, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.