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 850, 710, 71, 693 i.e. 1 largest integer that divides all the numbers equally.
GCD of 850, 710, 71, 693 is 1
GCD(850, 710, 71, 693) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 850, 710, 71, 693 is 1
GCD(850, 710, 71, 693) = 1
Given Input numbers are 850, 710, 71, 693
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Greatest Common Divisior
We found the divisors of 850, 710, 71, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 710, 71, 693 is 1.
Therefore, GCD of numbers 850, 710, 71, 693 is 1
Given Input Data is 850, 710, 71, 693
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 71 is 71
Prime Factorization of 693 is 3 x 3 x 7 x 11
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(850, 710) = 60350
GCD(850, 710) = ( 850 x 710 ) / 60350
GCD(850, 710) = 603500 / 60350
GCD(850, 710) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 71) = 710
GCD(10, 71) = ( 10 x 71 ) / 710
GCD(10, 71) = 710 / 710
GCD(10, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
GCD(1, 693) = 693 / 693
GCD(1, 693) = 1
GCD of 850, 710, 71, 693 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 850, 710, 71, 693?
GCD of 850, 710, 71, 693 is 1
2. Where do I get the detailed procedure to find GCD of 850, 710, 71, 693?
You can find a detailed procedure to find GCD of 850, 710, 71, 693 on our page.
3. How to find GCD of 850, 710, 71, 693 on a calculator?
You can find the GCD of 850, 710, 71, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.