GCD of 354, 296, 71, 721 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 354, 296, 71, 721 quickly. Get the easiest ways to solve the greatest common divisor of 354, 296, 71, 721 i.e 1 in different methods as follows.
Given Input numbers are 354, 296, 71, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 71 :
The positive integer divisors of 71 that completely divides 71 are.
1, 71
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (354, 296, 71, 721) = 1.
Given numbers are 354, 296, 71, 721
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 71 are 71
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 354, 296, 71, 721 using LCM Formula
Given numbers are 354, 296, 71, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 296) = 52392
GCD(354, 296) = ( 354 x 296 ) / 52392
= 354 / 296
= 354
Step2:
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
= 2 / 71
= 2
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 354, 296, 71, 721 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 354, 296, 71, 721
Given numbers are 354, 296, 71, 721
The greatest common divisor of numbers 354, 296, 71, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 296, 71, 721 is 1.
FAQs on GCD of 354, 296, 71, 721 Calculator
1. What is the GCD of 354, 296, 71, 721?
GCD of given numbers 354, 296, 71, 721 is 1
2. How to calculate the greatest common divisor of 354, 296, 71, 721?
We can find the highest common divisor of 354, 296, 71, 721 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 354, 296, 71, 721 i.e 1.
3. How can I use the GCD of 354, 296, 71, 721Calculator?
Out the numbers 354, 296, 71, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.