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GCD of 693, 807, 702, 426 Calculator

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


Online GCD Calculator is useful to find the GCD of 693, 807, 702, 426 quickly. Get the easiest ways to solve the greatest common divisor of 693, 807, 702, 426 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 693, 807, 702, 426 with Factoring?

Given Input numbers are 693, 807, 702, 426

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

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

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426


GCD of numbers is the greatest common divisor

So, the GCD (693, 807, 702, 426) = 3.

Find GCD of 693, 807, 702, 426 using Prime Factorization

Given numbers are 693, 807, 702, 426

The list of prime factors of all numbers are

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

Prime factors of 807 are 3 x 269

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 31

Therefore, GCD of 693, 807, 702, 426 is 3.

Steps to Calculate GCD of 693, 807, 702, 426 using LCM Formula

Given numbers are 693, 807, 702, 426

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

Apply this formula for all numbers.

Step1:

LCM(693, 807) = 186417

GCD(693, 807) = ( 693 x 807 ) / 186417

= 693 / 807

= 693


Step2:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3


Step3:

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

= 3 / 426

= 3


So, Greatest Common Divisor of 693, 807, 702, 426 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 693, 807, 702, 426

Given numbers are 693, 807, 702, 426
The greatest common divisor of numbers 693, 807, 702, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 807, 702, 426 is 3.

FAQs on GCD of 693, 807, 702, 426 Calculator

1. What is the GCD of 693, 807, 702, 426?

GCD of given numbers 693, 807, 702, 426 is 3


2. How to calculate the greatest common divisor of 693, 807, 702, 426?

We can find the highest common divisor of 693, 807, 702, 426 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 693, 807, 702, 426 i.e 3.


3. How can I use the GCD of 693, 807, 702, 426Calculator?

Out the numbers 693, 807, 702, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.