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 numbers 895, 105, 49, 732 is 1
GCD(895, 105, 49, 732) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.