GCD of 737, 749, 691, 466 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 737, 749, 691, 466 i.e. 1 largest integer that divides all the numbers equally.

GCD of 737, 749, 691, 466 is 1

GCD(737, 749, 691, 466) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 737, 749, 691, 466 is 1

GCD(737, 749, 691, 466) = 1

GCD of 737,749,691,466 Calculator

GCDof 737,749,691,466 is 1

Given Input numbers are 737, 749, 691, 466

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 737, 749, 691, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 749, 691, 466 is 1.

Therefore, GCD of numbers 737, 749, 691, 466 is 1

Finding GCD of 737, 749, 691, 466 using Prime Factorization

Given Input Data is 737, 749, 691, 466

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 737 is 11 x 67

Prime Factorization of 749 is 7 x 107

Prime Factorization of 691 is 691

Prime Factorization of 466 is 2 x 233

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

Finding GCD of 737, 749, 691, 466 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(737, 749) = 552013

GCD(737, 749) = ( 737 x 749 ) / 552013

GCD(737, 749) = 552013 / 552013

GCD(737, 749) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 737, 749, 691, 466 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 737, 749, 691, 466

1. What is the GCD of 737, 749, 691, 466?

GCD of 737, 749, 691, 466 is 1


2. Where do I get the detailed procedure to find GCD of 737, 749, 691, 466?

You can find a detailed procedure to find GCD of 737, 749, 691, 466 on our page.


3. How to find GCD of 737, 749, 691, 466 on a calculator?

You can find the GCD of 737, 749, 691, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.