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GCD of 676, 361, 575, 688 Calculator

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


Online GCD Calculator is useful to find the GCD of 676, 361, 575, 688 quickly. Get the easiest ways to solve the greatest common divisor of 676, 361, 575, 688 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 676, 361, 575, 688 with Factoring?

Given Input numbers are 676, 361, 575, 688

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

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 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688


GCD of numbers is the greatest common divisor

So, the GCD (676, 361, 575, 688) = 1.

Find GCD of 676, 361, 575, 688 using Prime Factorization

Given numbers are 676, 361, 575, 688

The list of prime factors of all numbers are

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

Prime factors of 361 are 19 x 19

Prime factors of 575 are 5 x 5 x 23

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Steps to Calculate GCD of 676, 361, 575, 688 using LCM Formula

Given numbers are 676, 361, 575, 688

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

Apply this formula for all numbers.

Step1:

LCM(676, 361) = 244036

GCD(676, 361) = ( 676 x 361 ) / 244036

= 676 / 361

= 676


Step2:

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

= 1 / 575

= 1


Step3:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1


So, Greatest Common Divisor of 676, 361, 575, 688 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 676, 361, 575, 688

Given numbers are 676, 361, 575, 688
The greatest common divisor of numbers 676, 361, 575, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 361, 575, 688 is 1.

FAQs on GCD of 676, 361, 575, 688 Calculator

1. What is the GCD of 676, 361, 575, 688?

GCD of given numbers 676, 361, 575, 688 is 1


2. How to calculate the greatest common divisor of 676, 361, 575, 688?

We can find the highest common divisor of 676, 361, 575, 688 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 676, 361, 575, 688 i.e 1.


3. How can I use the GCD of 676, 361, 575, 688Calculator?

Out the numbers 676, 361, 575, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.