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 80, 715, 497, 694 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 715, 497, 694 is 1
GCD(80, 715, 497, 694) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 715, 497, 694 is 1
GCD(80, 715, 497, 694) = 1
Given Input numbers are 80, 715, 497, 694
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Greatest Common Divisior
We found the divisors of 80, 715, 497, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 715, 497, 694 is 1.
Therefore, GCD of numbers 80, 715, 497, 694 is 1
Given Input Data is 80, 715, 497, 694
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 497 is 7 x 71
Prime Factorization of 694 is 2 x 347
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(80, 715) = 11440
GCD(80, 715) = ( 80 x 715 ) / 11440
GCD(80, 715) = 57200 / 11440
GCD(80, 715) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 497) = 2485
GCD(5, 497) = ( 5 x 497 ) / 2485
GCD(5, 497) = 2485 / 2485
GCD(5, 497) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 694
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 694) = 694
GCD(1, 694) = ( 1 x 694 ) / 694
GCD(1, 694) = 694 / 694
GCD(1, 694) = 1
GCD of 80, 715, 497, 694 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 715, 497, 694?
GCD of 80, 715, 497, 694 is 1
2. Where do I get the detailed procedure to find GCD of 80, 715, 497, 694?
You can find a detailed procedure to find GCD of 80, 715, 497, 694 on our page.
3. How to find GCD of 80, 715, 497, 694 on a calculator?
You can find the GCD of 80, 715, 497, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.