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GCD of 508, 694, 796, 362 Calculator

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


Online GCD Calculator is useful to find the GCD of 508, 694, 796, 362 quickly. Get the easiest ways to solve the greatest common divisor of 508, 694, 796, 362 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 508, 694, 796, 362 with Factoring?

Given Input numbers are 508, 694, 796, 362

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362


GCD of numbers is the greatest common divisor

So, the GCD (508, 694, 796, 362) = 2.

Find GCD of 508, 694, 796, 362 using Prime Factorization

Given numbers are 508, 694, 796, 362

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 694 are 2 x 347

Prime factors of 796 are 2 x 2 x 199

Prime factors of 362 are 2 x 181

The highest common occurrence is 21

Therefore, GCD of 508, 694, 796, 362 is 2.

Steps to Calculate GCD of 508, 694, 796, 362 using LCM Formula

Given numbers are 508, 694, 796, 362

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

Apply this formula for all numbers.

Step1:

LCM(508, 694) = 176276

GCD(508, 694) = ( 508 x 694 ) / 176276

= 508 / 694

= 508


Step2:

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

= 2 / 796

= 2


Step3:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2


So, Greatest Common Divisor of 508, 694, 796, 362 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 508, 694, 796, 362

Given numbers are 508, 694, 796, 362
The greatest common divisor of numbers 508, 694, 796, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 694, 796, 362 is 2.

FAQs on GCD of 508, 694, 796, 362 Calculator

1. What is the GCD of 508, 694, 796, 362?

GCD of given numbers 508, 694, 796, 362 is 2


2. How to calculate the greatest common divisor of 508, 694, 796, 362?

We can find the highest common divisor of 508, 694, 796, 362 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 508, 694, 796, 362 i.e 2.


3. How can I use the GCD of 508, 694, 796, 362Calculator?

Out the numbers 508, 694, 796, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.