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GCD of 260, 713, 852, 490 Calculator

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


Online GCD Calculator is useful to find the GCD of 260, 713, 852, 490 quickly. Get the easiest ways to solve the greatest common divisor of 260, 713, 852, 490 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 260, 713, 852, 490 with Factoring?

Given Input numbers are 260, 713, 852, 490

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490


GCD of numbers is the greatest common divisor

So, the GCD (260, 713, 852, 490) = 1.

Find GCD of 260, 713, 852, 490 using Prime Factorization

Given numbers are 260, 713, 852, 490

The list of prime factors of all numbers are

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 713 are 23 x 31

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 490 are 2 x 5 x 7 x 7

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

Steps to Calculate GCD of 260, 713, 852, 490 using LCM Formula

Given numbers are 260, 713, 852, 490

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

Apply this formula for all numbers.

Step1:

LCM(260, 713) = 185380

GCD(260, 713) = ( 260 x 713 ) / 185380

= 260 / 713

= 260


Step2:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1


Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1


So, Greatest Common Divisor of 260, 713, 852, 490 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 260, 713, 852, 490

Given numbers are 260, 713, 852, 490
The greatest common divisor of numbers 260, 713, 852, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 713, 852, 490 is 1.

FAQs on GCD of 260, 713, 852, 490 Calculator

1. What is the GCD of 260, 713, 852, 490?

GCD of given numbers 260, 713, 852, 490 is 1


2. How to calculate the greatest common divisor of 260, 713, 852, 490?

We can find the highest common divisor of 260, 713, 852, 490 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 260, 713, 852, 490 i.e 1.


3. How can I use the GCD of 260, 713, 852, 490Calculator?

Out the numbers 260, 713, 852, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.