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 503, 880, 802, 148 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 880, 802, 148 is 1
GCD(503, 880, 802, 148) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 880, 802, 148 is 1
GCD(503, 880, 802, 148) = 1
Given Input numbers are 503, 880, 802, 148
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Greatest Common Divisior
We found the divisors of 503, 880, 802, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 880, 802, 148 is 1.
Therefore, GCD of numbers 503, 880, 802, 148 is 1
Given Input Data is 503, 880, 802, 148
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 802 is 2 x 401
Prime Factorization of 148 is 2 x 2 x 37
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(503, 880) = 442640
GCD(503, 880) = ( 503 x 880 ) / 442640
GCD(503, 880) = 442640 / 442640
GCD(503, 880) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
GCD(1, 148) = 148 / 148
GCD(1, 148) = 1
GCD of 503, 880, 802, 148 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 880, 802, 148?
GCD of 503, 880, 802, 148 is 1
2. Where do I get the detailed procedure to find GCD of 503, 880, 802, 148?
You can find a detailed procedure to find GCD of 503, 880, 802, 148 on our page.
3. How to find GCD of 503, 880, 802, 148 on a calculator?
You can find the GCD of 503, 880, 802, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.