LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 491, 261, 687, 253 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, 261, 687, 253 quickly. Get the easiest ways to solve the greatest common divisor of 491, 261, 687, 253 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 491, 261, 687, 253 with Factoring?

Given Input numbers are 491, 261, 687, 253

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 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253


GCD of numbers is the greatest common divisor

So, the GCD (491, 261, 687, 253) = 1.

Find GCD of 491, 261, 687, 253 using Prime Factorization

Given numbers are 491, 261, 687, 253

The list of prime factors of all numbers are

Prime factors of 491 are 491

Prime factors of 261 are 3 x 3 x 29

Prime factors of 687 are 3 x 229

Prime factors of 253 are 11 x 23

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

Steps to Calculate GCD of 491, 261, 687, 253 using LCM Formula

Given numbers are 491, 261, 687, 253

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

Apply this formula for all numbers.

Step1:

LCM(491, 261) = 128151

GCD(491, 261) = ( 491 x 261 ) / 128151

= 491 / 261

= 491


Step2:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1


Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1


So, Greatest Common Divisor of 491, 261, 687, 253 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 491, 261, 687, 253

Given numbers are 491, 261, 687, 253
The greatest common divisor of numbers 491, 261, 687, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 261, 687, 253 is 1.

FAQs on GCD of 491, 261, 687, 253 Calculator

1. What is the GCD of 491, 261, 687, 253?

GCD of given numbers 491, 261, 687, 253 is 1


2. How to calculate the greatest common divisor of 491, 261, 687, 253?

We can find the highest common divisor of 491, 261, 687, 253 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, 261, 687, 253 i.e 1.


3. How can I use the GCD of 491, 261, 687, 253Calculator?

Out the numbers 491, 261, 687, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.