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GCD of 491, 465, 676, 880 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, 465, 676, 880 quickly. Get the easiest ways to solve the greatest common divisor of 491, 465, 676, 880 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 491, 465, 676, 880 with Factoring?

Given Input numbers are 491, 465, 676, 880

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 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880


GCD of numbers is the greatest common divisor

So, the GCD (491, 465, 676, 880) = 1.

Find GCD of 491, 465, 676, 880 using Prime Factorization

Given numbers are 491, 465, 676, 880

The list of prime factors of all numbers are

Prime factors of 491 are 491

Prime factors of 465 are 3 x 5 x 31

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

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

Steps to Calculate GCD of 491, 465, 676, 880 using LCM Formula

Given numbers are 491, 465, 676, 880

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

Apply this formula for all numbers.

Step1:

LCM(491, 465) = 228315

GCD(491, 465) = ( 491 x 465 ) / 228315

= 491 / 465

= 491


Step2:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1


Step3:

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

= 1 / 880

= 1


So, Greatest Common Divisor of 491, 465, 676, 880 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 491, 465, 676, 880

Given numbers are 491, 465, 676, 880
The greatest common divisor of numbers 491, 465, 676, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 465, 676, 880 is 1.

FAQs on GCD of 491, 465, 676, 880 Calculator

1. What is the GCD of 491, 465, 676, 880?

GCD of given numbers 491, 465, 676, 880 is 1


2. How to calculate the greatest common divisor of 491, 465, 676, 880?

We can find the highest common divisor of 491, 465, 676, 880 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, 465, 676, 880 i.e 1.


3. How can I use the GCD of 491, 465, 676, 880Calculator?

Out the numbers 491, 465, 676, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.