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, 651, 359, 214 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 651, 359, 214 is 1
GCD(85, 651, 359, 214) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 651, 359, 214 is 1
GCD(85, 651, 359, 214) = 1
Given Input numbers are 85, 651, 359, 214
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 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Greatest Common Divisior
We found the divisors of 85, 651, 359, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 651, 359, 214 is 1.
Therefore, GCD of numbers 85, 651, 359, 214 is 1
Given Input Data is 85, 651, 359, 214
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 359 is 359
Prime Factorization of 214 is 2 x 107
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, 651) = 55335
GCD(85, 651) = ( 85 x 651 ) / 55335
GCD(85, 651) = 55335 / 55335
GCD(85, 651) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
GCD(1, 214) = 214 / 214
GCD(1, 214) = 1
GCD of 85, 651, 359, 214 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 651, 359, 214?
GCD of 85, 651, 359, 214 is 1
2. Where do I get the detailed procedure to find GCD of 85, 651, 359, 214?
You can find a detailed procedure to find GCD of 85, 651, 359, 214 on our page.
3. How to find GCD of 85, 651, 359, 214 on a calculator?
You can find the GCD of 85, 651, 359, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.