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GCD of 494, 692, 748 Calculator

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


Online GCD Calculator is useful to find the GCD of 494, 692, 748 quickly. Get the easiest ways to solve the greatest common divisor of 494, 692, 748 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 494, 692, 748 with Factoring?

Given Input numbers are 494, 692, 748

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748


GCD of numbers is the greatest common divisor

So, the GCD (494, 692, 748) = 2.

Find GCD of 494, 692, 748 using Prime Factorization

Given numbers are 494, 692, 748

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 692 are 2 x 2 x 173

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 21

Therefore, GCD of 494, 692, 748 is 2.

Steps to Calculate GCD of 494, 692, 748 using LCM Formula

Given numbers are 494, 692, 748

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

Apply this formula for all numbers.

Step1:

LCM(494, 692) = 170924

GCD(494, 692) = ( 494 x 692 ) / 170924

= 494 / 692

= 494


Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2


So, Greatest Common Divisor of 494, 692, 748 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 494, 692, 748

Given numbers are 494, 692, 748
The greatest common divisor of numbers 494, 692, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 692, 748 is 2.

FAQs on GCD of 494, 692, 748 Calculator

1. What is the GCD of 494, 692, 748?

GCD of given numbers 494, 692, 748 is 2


2. How to calculate the greatest common divisor of 494, 692, 748?

We can find the highest common divisor of 494, 692, 748 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 494, 692, 748 i.e 2.


3. How can I use the GCD of 494, 692, 748Calculator?

Out the numbers 494, 692, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.