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 736, 876, 503, 961 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 876, 503, 961 is 1
GCD(736, 876, 503, 961) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 876, 503, 961 is 1
GCD(736, 876, 503, 961) = 1
Given Input numbers are 736, 876, 503, 961
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Greatest Common Divisior
We found the divisors of 736, 876, 503, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 876, 503, 961 is 1.
Therefore, GCD of numbers 736, 876, 503, 961 is 1
Given Input Data is 736, 876, 503, 961
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 503 is 503
Prime Factorization of 961 is 31 x 31
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(736, 876) = 161184
GCD(736, 876) = ( 736 x 876 ) / 161184
GCD(736, 876) = 644736 / 161184
GCD(736, 876) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 503) = 2012
GCD(4, 503) = ( 4 x 503 ) / 2012
GCD(4, 503) = 2012 / 2012
GCD(4, 503) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 961) = 961
GCD(1, 961) = ( 1 x 961 ) / 961
GCD(1, 961) = 961 / 961
GCD(1, 961) = 1
GCD of 736, 876, 503, 961 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 876, 503, 961?
GCD of 736, 876, 503, 961 is 1
2. Where do I get the detailed procedure to find GCD of 736, 876, 503, 961?
You can find a detailed procedure to find GCD of 736, 876, 503, 961 on our page.
3. How to find GCD of 736, 876, 503, 961 on a calculator?
You can find the GCD of 736, 876, 503, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.