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 85, 703, 823, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 703, 823, 280 is 1
GCD(85, 703, 823, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 703, 823, 280 is 1
GCD(85, 703, 823, 280) = 1
Given Input numbers are 85, 703, 823, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Greatest Common Divisior
We found the divisors of 85, 703, 823, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 703, 823, 280 is 1.
Therefore, GCD of numbers 85, 703, 823, 280 is 1
Given Input Data is 85, 703, 823, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 703 is 19 x 37
Prime Factorization of 823 is 823
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
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(85, 703) = 59755
GCD(85, 703) = ( 85 x 703 ) / 59755
GCD(85, 703) = 59755 / 59755
GCD(85, 703) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
GCD(1, 280) = 280 / 280
GCD(1, 280) = 1
GCD of 85, 703, 823, 280 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 703, 823, 280?
GCD of 85, 703, 823, 280 is 1
2. Where do I get the detailed procedure to find GCD of 85, 703, 823, 280?
You can find a detailed procedure to find GCD of 85, 703, 823, 280 on our page.
3. How to find GCD of 85, 703, 823, 280 on a calculator?
You can find the GCD of 85, 703, 823, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.