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 651, 867, 217, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 651, 867, 217, 154 is 1
GCD(651, 867, 217, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 651, 867, 217, 154 is 1
GCD(651, 867, 217, 154) = 1
Given Input numbers are 651, 867, 217, 154
To find the GCD of numbers using factoring list out all the divisors of each number
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 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 651, 867, 217, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 867, 217, 154 is 1.
Therefore, GCD of numbers 651, 867, 217, 154 is 1
Given Input Data is 651, 867, 217, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 217 is 7 x 31
Prime Factorization of 154 is 2 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(651, 867) = 188139
GCD(651, 867) = ( 651 x 867 ) / 188139
GCD(651, 867) = 564417 / 188139
GCD(651, 867) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 217) = 651
GCD(3, 217) = ( 3 x 217 ) / 651
GCD(3, 217) = 651 / 651
GCD(3, 217) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
GCD of 651, 867, 217, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 651, 867, 217, 154?
GCD of 651, 867, 217, 154 is 1
2. Where do I get the detailed procedure to find GCD of 651, 867, 217, 154?
You can find a detailed procedure to find GCD of 651, 867, 217, 154 on our page.
3. How to find GCD of 651, 867, 217, 154 on a calculator?
You can find the GCD of 651, 867, 217, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.