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GCD of 496, 261, 831, 680 Calculator

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


Online GCD Calculator is useful to find the GCD of 496, 261, 831, 680 quickly. Get the easiest ways to solve the greatest common divisor of 496, 261, 831, 680 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 496, 261, 831, 680 with Factoring?

Given Input numbers are 496, 261, 831, 680

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680


GCD of numbers is the greatest common divisor

So, the GCD (496, 261, 831, 680) = 1.

Find GCD of 496, 261, 831, 680 using Prime Factorization

Given numbers are 496, 261, 831, 680

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 261 are 3 x 3 x 29

Prime factors of 831 are 3 x 277

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Steps to Calculate GCD of 496, 261, 831, 680 using LCM Formula

Given numbers are 496, 261, 831, 680

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

Apply this formula for all numbers.

Step1:

LCM(496, 261) = 129456

GCD(496, 261) = ( 496 x 261 ) / 129456

= 496 / 261

= 496


Step2:

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

= 1 / 831

= 1


Step3:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1


So, Greatest Common Divisor of 496, 261, 831, 680 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 496, 261, 831, 680

Given numbers are 496, 261, 831, 680
The greatest common divisor of numbers 496, 261, 831, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 261, 831, 680 is 1.

FAQs on GCD of 496, 261, 831, 680 Calculator

1. What is the GCD of 496, 261, 831, 680?

GCD of given numbers 496, 261, 831, 680 is 1


2. How to calculate the greatest common divisor of 496, 261, 831, 680?

We can find the highest common divisor of 496, 261, 831, 680 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 496, 261, 831, 680 i.e 1.


3. How can I use the GCD of 496, 261, 831, 680Calculator?

Out the numbers 496, 261, 831, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.