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GCD of 682, 716, 653, 488 Calculator

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


Online GCD Calculator is useful to find the GCD of 682, 716, 653, 488 quickly. Get the easiest ways to solve the greatest common divisor of 682, 716, 653, 488 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 682, 716, 653, 488 with Factoring?

Given Input numbers are 682, 716, 653, 488

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488


GCD of numbers is the greatest common divisor

So, the GCD (682, 716, 653, 488) = 1.

Find GCD of 682, 716, 653, 488 using Prime Factorization

Given numbers are 682, 716, 653, 488

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 716 are 2 x 2 x 179

Prime factors of 653 are 653

Prime factors of 488 are 2 x 2 x 2 x 61

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

Steps to Calculate GCD of 682, 716, 653, 488 using LCM Formula

Given numbers are 682, 716, 653, 488

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

Apply this formula for all numbers.

Step1:

LCM(682, 716) = 244156

GCD(682, 716) = ( 682 x 716 ) / 244156

= 682 / 716

= 682


Step2:

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

= 2 / 653

= 2


Step3:

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

= 1 / 488

= 1


So, Greatest Common Divisor of 682, 716, 653, 488 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 682, 716, 653, 488

Given numbers are 682, 716, 653, 488
The greatest common divisor of numbers 682, 716, 653, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 716, 653, 488 is 1.

FAQs on GCD of 682, 716, 653, 488 Calculator

1. What is the GCD of 682, 716, 653, 488?

GCD of given numbers 682, 716, 653, 488 is 1


2. How to calculate the greatest common divisor of 682, 716, 653, 488?

We can find the highest common divisor of 682, 716, 653, 488 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 682, 716, 653, 488 i.e 1.


3. How can I use the GCD of 682, 716, 653, 488Calculator?

Out the numbers 682, 716, 653, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.