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GCD of 491, 347, 704, 898 Calculator

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


Online GCD Calculator is useful to find the GCD of 491, 347, 704, 898 quickly. Get the easiest ways to solve the greatest common divisor of 491, 347, 704, 898 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 491, 347, 704, 898 with Factoring?

Given Input numbers are 491, 347, 704, 898

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

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898


GCD of numbers is the greatest common divisor

So, the GCD (491, 347, 704, 898) = 1.

Find GCD of 491, 347, 704, 898 using Prime Factorization

Given numbers are 491, 347, 704, 898

The list of prime factors of all numbers are

Prime factors of 491 are 491

Prime factors of 347 are 347

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 898 are 2 x 449

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

Steps to Calculate GCD of 491, 347, 704, 898 using LCM Formula

Given numbers are 491, 347, 704, 898

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

Apply this formula for all numbers.

Step1:

LCM(491, 347) = 170377

GCD(491, 347) = ( 491 x 347 ) / 170377

= 491 / 347

= 491


Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1


Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1


So, Greatest Common Divisor of 491, 347, 704, 898 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 491, 347, 704, 898

Given numbers are 491, 347, 704, 898
The greatest common divisor of numbers 491, 347, 704, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 347, 704, 898 is 1.

FAQs on GCD of 491, 347, 704, 898 Calculator

1. What is the GCD of 491, 347, 704, 898?

GCD of given numbers 491, 347, 704, 898 is 1


2. How to calculate the greatest common divisor of 491, 347, 704, 898?

We can find the highest common divisor of 491, 347, 704, 898 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 491, 347, 704, 898 i.e 1.


3. How can I use the GCD of 491, 347, 704, 898Calculator?

Out the numbers 491, 347, 704, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.