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, 552, 908, 214 i.e. 1 largest integer that divides all the numbers equally.
GCD of 651, 552, 908, 214 is 1
GCD(651, 552, 908, 214) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 651, 552, 908, 214 is 1
GCD(651, 552, 908, 214) = 1
Given Input numbers are 651, 552, 908, 214
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 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
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 651, 552, 908, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 552, 908, 214 is 1.
Therefore, GCD of numbers 651, 552, 908, 214 is 1
Given Input Data is 651, 552, 908, 214
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 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 908 is 2 x 2 x 227
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(651, 552) = 119784
GCD(651, 552) = ( 651 x 552 ) / 119784
GCD(651, 552) = 359352 / 119784
GCD(651, 552) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 908) = 2724
GCD(3, 908) = ( 3 x 908 ) / 2724
GCD(3, 908) = 2724 / 2724
GCD(3, 908) = 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 651, 552, 908, 214 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 651, 552, 908, 214?
GCD of 651, 552, 908, 214 is 1
2. Where do I get the detailed procedure to find GCD of 651, 552, 908, 214?
You can find a detailed procedure to find GCD of 651, 552, 908, 214 on our page.
3. How to find GCD of 651, 552, 908, 214 on a calculator?
You can find the GCD of 651, 552, 908, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.