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GCD of 421, 743, 316 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 421, 743, 316 quickly. Get the easiest ways to solve the greatest common divisor of 421, 743, 316 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 421, 743, 316 with Factoring?

Given Input numbers are 421, 743, 316

In the factoring method, we have to find the divisors of all numbers

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316


GCD of numbers is the greatest common divisor

So, the GCD (421, 743, 316) = 1.

Find GCD of 421, 743, 316 using Prime Factorization

Given numbers are 421, 743, 316

The list of prime factors of all numbers are

Prime factors of 421 are 421

Prime factors of 743 are 743

Prime factors of 316 are 2 x 2 x 79

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 421, 743, 316 using LCM Formula

Given numbers are 421, 743, 316

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(421, 743) = 312803

GCD(421, 743) = ( 421 x 743 ) / 312803

= 421 / 743

= 421


Step2:

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

= 1 / 316

= 1


So, Greatest Common Divisor of 421, 743, 316 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 421, 743, 316

Given numbers are 421, 743, 316
The greatest common divisor of numbers 421, 743, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 743, 316 is 1.

FAQs on GCD of 421, 743, 316 Calculator

1. What is the GCD of 421, 743, 316?

GCD of given numbers 421, 743, 316 is 1


2. How to calculate the greatest common divisor of 421, 743, 316?

We can find the highest common divisor of 421, 743, 316 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 421, 743, 316 i.e 1.


3. How can I use the GCD of 421, 743, 316Calculator?

Out the numbers 421, 743, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.