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 861, 368, 74, 214 i.e. 1 largest integer that divides all the numbers equally.
GCD of 861, 368, 74, 214 is 1
GCD(861, 368, 74, 214) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 861, 368, 74, 214 is 1
GCD(861, 368, 74, 214) = 1
Given Input numbers are 861, 368, 74, 214
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
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 861, 368, 74, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 368, 74, 214 is 1.
Therefore, GCD of numbers 861, 368, 74, 214 is 1
Given Input Data is 861, 368, 74, 214
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 74 is 2 x 37
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(861, 368) = 316848
GCD(861, 368) = ( 861 x 368 ) / 316848
GCD(861, 368) = 316848 / 316848
GCD(861, 368) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 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 861, 368, 74, 214 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 861, 368, 74, 214?
GCD of 861, 368, 74, 214 is 1
2. Where do I get the detailed procedure to find GCD of 861, 368, 74, 214?
You can find a detailed procedure to find GCD of 861, 368, 74, 214 on our page.
3. How to find GCD of 861, 368, 74, 214 on a calculator?
You can find the GCD of 861, 368, 74, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.