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, 675, 99, 379 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 675, 99, 379 is 1
GCD(154, 675, 99, 379) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 675, 99, 379 is 1
GCD(154, 675, 99, 379) = 1
Given Input numbers are 154, 675, 99, 379
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 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Greatest Common Divisior
We found the divisors of 154, 675, 99, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 675, 99, 379 is 1.
Therefore, GCD of numbers 154, 675, 99, 379 is 1
Given Input Data is 154, 675, 99, 379
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 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 379 is 379
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, 675) = 103950
GCD(154, 675) = ( 154 x 675 ) / 103950
GCD(154, 675) = 103950 / 103950
GCD(154, 675) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 379) = 379
GCD(1, 379) = ( 1 x 379 ) / 379
GCD(1, 379) = 379 / 379
GCD(1, 379) = 1
GCD of 154, 675, 99, 379 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 675, 99, 379?
GCD of 154, 675, 99, 379 is 1
2. Where do I get the detailed procedure to find GCD of 154, 675, 99, 379?
You can find a detailed procedure to find GCD of 154, 675, 99, 379 on our page.
3. How to find GCD of 154, 675, 99, 379 on a calculator?
You can find the GCD of 154, 675, 99, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.