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GCD of 686, 552, 838, 351 Calculator

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


Online GCD Calculator is useful to find the GCD of 686, 552, 838, 351 quickly. Get the easiest ways to solve the greatest common divisor of 686, 552, 838, 351 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 686, 552, 838, 351 with Factoring?

Given Input numbers are 686, 552, 838, 351

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351


GCD of numbers is the greatest common divisor

So, the GCD (686, 552, 838, 351) = 1.

Find GCD of 686, 552, 838, 351 using Prime Factorization

Given numbers are 686, 552, 838, 351

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 838 are 2 x 419

Prime factors of 351 are 3 x 3 x 3 x 13

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

Steps to Calculate GCD of 686, 552, 838, 351 using LCM Formula

Given numbers are 686, 552, 838, 351

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

Apply this formula for all numbers.

Step1:

LCM(686, 552) = 189336

GCD(686, 552) = ( 686 x 552 ) / 189336

= 686 / 552

= 686


Step2:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2


Step3:

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

= 2 / 351

= 2


So, Greatest Common Divisor of 686, 552, 838, 351 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 686, 552, 838, 351

Given numbers are 686, 552, 838, 351
The greatest common divisor of numbers 686, 552, 838, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 552, 838, 351 is 1.

FAQs on GCD of 686, 552, 838, 351 Calculator

1. What is the GCD of 686, 552, 838, 351?

GCD of given numbers 686, 552, 838, 351 is 1


2. How to calculate the greatest common divisor of 686, 552, 838, 351?

We can find the highest common divisor of 686, 552, 838, 351 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 686, 552, 838, 351 i.e 1.


3. How can I use the GCD of 686, 552, 838, 351Calculator?

Out the numbers 686, 552, 838, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.