GCD of 895, 105, 49, 732 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 895, 105, 49, 732 i.e. 1 largest integer that divides all the numbers equally.

GCD of 895, 105, 49, 732 is 1

GCD(895, 105, 49, 732) = 1

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

GCD of

GCD of numbers 895, 105, 49, 732 is 1

GCD(895, 105, 49, 732) = 1

GCD of 895,105,49,732 Calculator

GCDof 895,105,49,732 is 1

Given Input numbers are 895, 105, 49, 732

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

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 895, 105, 49, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 895, 105, 49, 732 is 1.

Therefore, GCD of numbers 895, 105, 49, 732 is 1

Finding GCD of 895, 105, 49, 732 using Prime Factorization

Given Input Data is 895, 105, 49, 732

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

Prime Factorization of 895 is 5 x 179

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 49 is 7 x 7

Prime Factorization of 732 is 2 x 2 x 3 x 61

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

Finding GCD of 895, 105, 49, 732 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(895, 105) = 18795

GCD(895, 105) = ( 895 x 105 ) / 18795

GCD(895, 105) = 93975 / 18795

GCD(895, 105) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 49

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

LCM(5, 49) = 245

GCD(5, 49) = ( 5 x 49 ) / 245

GCD(5, 49) = 245 / 245

GCD(5, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

GCD of 895, 105, 49, 732 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 895, 105, 49, 732

1. What is the GCD of 895, 105, 49, 732?

GCD of 895, 105, 49, 732 is 1


2. Where do I get the detailed procedure to find GCD of 895, 105, 49, 732?

You can find a detailed procedure to find GCD of 895, 105, 49, 732 on our page.


3. How to find GCD of 895, 105, 49, 732 on a calculator?

You can find the GCD of 895, 105, 49, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.