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 154, 856, 651, 654 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 856, 651, 654 is 1
GCD(154, 856, 651, 654) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 856, 651, 654 is 1
GCD(154, 856, 651, 654) = 1
Given Input numbers are 154, 856, 651, 654
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
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 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Greatest Common Divisior
We found the divisors of 154, 856, 651, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 856, 651, 654 is 1.
Therefore, GCD of numbers 154, 856, 651, 654 is 1
Given Input Data is 154, 856, 651, 654
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 654 is 2 x 3 x 109
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(154, 856) = 65912
GCD(154, 856) = ( 154 x 856 ) / 65912
GCD(154, 856) = 131824 / 65912
GCD(154, 856) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 651) = 1302
GCD(2, 651) = ( 2 x 651 ) / 1302
GCD(2, 651) = 1302 / 1302
GCD(2, 651) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 654) = 654
GCD(1, 654) = ( 1 x 654 ) / 654
GCD(1, 654) = 654 / 654
GCD(1, 654) = 1
GCD of 154, 856, 651, 654 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 856, 651, 654?
GCD of 154, 856, 651, 654 is 1
2. Where do I get the detailed procedure to find GCD of 154, 856, 651, 654?
You can find a detailed procedure to find GCD of 154, 856, 651, 654 on our page.
3. How to find GCD of 154, 856, 651, 654 on a calculator?
You can find the GCD of 154, 856, 651, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.