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GCD of 497, 800, 421, 857 Calculator

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


Online GCD Calculator is useful to find the GCD of 497, 800, 421, 857 quickly. Get the easiest ways to solve the greatest common divisor of 497, 800, 421, 857 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 497, 800, 421, 857 with Factoring?

Given Input numbers are 497, 800, 421, 857

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

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 421 :

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

1, 421

Divisors of 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857


GCD of numbers is the greatest common divisor

So, the GCD (497, 800, 421, 857) = 1.

Find GCD of 497, 800, 421, 857 using Prime Factorization

Given numbers are 497, 800, 421, 857

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 421 are 421

Prime factors of 857 are 857

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

Steps to Calculate GCD of 497, 800, 421, 857 using LCM Formula

Given numbers are 497, 800, 421, 857

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

Apply this formula for all numbers.

Step1:

LCM(497, 800) = 397600

GCD(497, 800) = ( 497 x 800 ) / 397600

= 497 / 800

= 497


Step2:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1


Step3:

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

= 1 / 857

= 1


So, Greatest Common Divisor of 497, 800, 421, 857 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 497, 800, 421, 857

Given numbers are 497, 800, 421, 857
The greatest common divisor of numbers 497, 800, 421, 857 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 800, 421, 857 is 1.

FAQs on GCD of 497, 800, 421, 857 Calculator

1. What is the GCD of 497, 800, 421, 857?

GCD of given numbers 497, 800, 421, 857 is 1


2. How to calculate the greatest common divisor of 497, 800, 421, 857?

We can find the highest common divisor of 497, 800, 421, 857 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 497, 800, 421, 857 i.e 1.


3. How can I use the GCD of 497, 800, 421, 857Calculator?

Out the numbers 497, 800, 421, 857 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.