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, 198, 29, 840 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 198, 29, 840 is 1
GCD(154, 198, 29, 840) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 198, 29, 840 is 1
GCD(154, 198, 29, 840) = 1
Given Input numbers are 154, 198, 29, 840
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 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Greatest Common Divisior
We found the divisors of 154, 198, 29, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 198, 29, 840 is 1.
Therefore, GCD of numbers 154, 198, 29, 840 is 1
Given Input Data is 154, 198, 29, 840
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 198 is 2 x 3 x 3 x 11
Prime Factorization of 29 is 29
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
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, 198) = 1386
GCD(154, 198) = ( 154 x 198 ) / 1386
GCD(154, 198) = 30492 / 1386
GCD(154, 198) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 29) = 638
GCD(22, 29) = ( 22 x 29 ) / 638
GCD(22, 29) = 638 / 638
GCD(22, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
GCD(1, 840) = 840 / 840
GCD(1, 840) = 1
GCD of 154, 198, 29, 840 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 198, 29, 840?
GCD of 154, 198, 29, 840 is 1
2. Where do I get the detailed procedure to find GCD of 154, 198, 29, 840?
You can find a detailed procedure to find GCD of 154, 198, 29, 840 on our page.
3. How to find GCD of 154, 198, 29, 840 on a calculator?
You can find the GCD of 154, 198, 29, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.