GCD of 343, 996, 357 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 343, 996, 357 quickly. Get the easiest ways to solve the greatest common divisor of 343, 996, 357 i.e 1 in different methods as follows.
Given Input numbers are 343, 996, 357
In the factoring method, we have to find the divisors of all numbers
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (343, 996, 357) = 1.
Given numbers are 343, 996, 357
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 357 are 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 343, 996, 357 using LCM Formula
Given numbers are 343, 996, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 996) = 341628
GCD(343, 996) = ( 343 x 996 ) / 341628
= 343 / 996
= 343
Step2:
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
= 1 / 357
= 1
So, Greatest Common Divisor of 343, 996, 357 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 343, 996, 357
Given numbers are 343, 996, 357
The greatest common divisor of numbers 343, 996, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 996, 357 is 1.
FAQs on GCD of 343, 996, 357 Calculator
1. What is the GCD of 343, 996, 357?
GCD of given numbers 343, 996, 357 is 1
2. How to calculate the greatest common divisor of 343, 996, 357?
We can find the highest common divisor of 343, 996, 357 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 343, 996, 357 i.e 1.
3. How can I use the GCD of 343, 996, 357Calculator?
Out the numbers 343, 996, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.