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 735, 955, 63, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 735, 955, 63, 491 is 1
GCD(735, 955, 63, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 735, 955, 63, 491 is 1
GCD(735, 955, 63, 491) = 1
Given Input numbers are 735, 955, 63, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 735, 955, 63, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 955, 63, 491 is 1.
Therefore, GCD of numbers 735, 955, 63, 491 is 1
Given Input Data is 735, 955, 63, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 955 is 5 x 191
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 491 is 491
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(735, 955) = 140385
GCD(735, 955) = ( 735 x 955 ) / 140385
GCD(735, 955) = 701925 / 140385
GCD(735, 955) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 63) = 315
GCD(5, 63) = ( 5 x 63 ) / 315
GCD(5, 63) = 315 / 315
GCD(5, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 735, 955, 63, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 735, 955, 63, 491?
GCD of 735, 955, 63, 491 is 1
2. Where do I get the detailed procedure to find GCD of 735, 955, 63, 491?
You can find a detailed procedure to find GCD of 735, 955, 63, 491 on our page.
3. How to find GCD of 735, 955, 63, 491 on a calculator?
You can find the GCD of 735, 955, 63, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.