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GCD of 343, 814, 766, 693 Calculator

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


Online GCD Calculator is useful to find the GCD of 343, 814, 766, 693 quickly. Get the easiest ways to solve the greatest common divisor of 343, 814, 766, 693 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 343, 814, 766, 693 with Factoring?

Given Input numbers are 343, 814, 766, 693

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

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693


GCD of numbers is the greatest common divisor

So, the GCD (343, 814, 766, 693) = 1.

Find GCD of 343, 814, 766, 693 using Prime Factorization

Given numbers are 343, 814, 766, 693

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 814 are 2 x 11 x 37

Prime factors of 766 are 2 x 383

Prime factors of 693 are 3 x 3 x 7 x 11

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

Steps to Calculate GCD of 343, 814, 766, 693 using LCM Formula

Given numbers are 343, 814, 766, 693

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

Apply this formula for all numbers.

Step1:

LCM(343, 814) = 279202

GCD(343, 814) = ( 343 x 814 ) / 279202

= 343 / 814

= 343


Step2:

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

= 1 / 766

= 1


Step3:

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

= 1 / 693

= 1


So, Greatest Common Divisor of 343, 814, 766, 693 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 343, 814, 766, 693

Given numbers are 343, 814, 766, 693
The greatest common divisor of numbers 343, 814, 766, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 814, 766, 693 is 1.

FAQs on GCD of 343, 814, 766, 693 Calculator

1. What is the GCD of 343, 814, 766, 693?

GCD of given numbers 343, 814, 766, 693 is 1


2. How to calculate the greatest common divisor of 343, 814, 766, 693?

We can find the highest common divisor of 343, 814, 766, 693 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 343, 814, 766, 693 i.e 1.


3. How can I use the GCD of 343, 814, 766, 693Calculator?

Out the numbers 343, 814, 766, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.