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GCD of 476, 917, 749, 493 Calculator

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


Online GCD Calculator is useful to find the GCD of 476, 917, 749, 493 quickly. Get the easiest ways to solve the greatest common divisor of 476, 917, 749, 493 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 476, 917, 749, 493 with Factoring?

Given Input numbers are 476, 917, 749, 493

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493


GCD of numbers is the greatest common divisor

So, the GCD (476, 917, 749, 493) = 1.

Find GCD of 476, 917, 749, 493 using Prime Factorization

Given numbers are 476, 917, 749, 493

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 917 are 7 x 131

Prime factors of 749 are 7 x 107

Prime factors of 493 are 17 x 29

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

Steps to Calculate GCD of 476, 917, 749, 493 using LCM Formula

Given numbers are 476, 917, 749, 493

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

Apply this formula for all numbers.

Step1:

LCM(476, 917) = 62356

GCD(476, 917) = ( 476 x 917 ) / 62356

= 476 / 917

= 476


Step2:

LCM(7, 749) = 749

GCD(7, 749) = ( 7 x 749 ) / 749

= 7 / 749

= 7


Step3:

LCM(7, 493) = 3451

GCD(7, 493) = ( 7 x 493 ) / 3451

= 7 / 493

= 7


So, Greatest Common Divisor of 476, 917, 749, 493 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 476, 917, 749, 493

Given numbers are 476, 917, 749, 493
The greatest common divisor of numbers 476, 917, 749, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 917, 749, 493 is 1.

FAQs on GCD of 476, 917, 749, 493 Calculator

1. What is the GCD of 476, 917, 749, 493?

GCD of given numbers 476, 917, 749, 493 is 1


2. How to calculate the greatest common divisor of 476, 917, 749, 493?

We can find the highest common divisor of 476, 917, 749, 493 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 476, 917, 749, 493 i.e 1.


3. How can I use the GCD of 476, 917, 749, 493Calculator?

Out the numbers 476, 917, 749, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.