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 153, 925, 14, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 925, 14, 374 is 1
GCD(153, 925, 14, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 925, 14, 374 is 1
GCD(153, 925, 14, 374) = 1
Given Input numbers are 153, 925, 14, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 153, 925, 14, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 925, 14, 374 is 1.
Therefore, GCD of numbers 153, 925, 14, 374 is 1
Given Input Data is 153, 925, 14, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 14 is 2 x 7
Prime Factorization of 374 is 2 x 11 x 17
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(153, 925) = 141525
GCD(153, 925) = ( 153 x 925 ) / 141525
GCD(153, 925) = 141525 / 141525
GCD(153, 925) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 153, 925, 14, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 925, 14, 374?
GCD of 153, 925, 14, 374 is 1
2. Where do I get the detailed procedure to find GCD of 153, 925, 14, 374?
You can find a detailed procedure to find GCD of 153, 925, 14, 374 on our page.
3. How to find GCD of 153, 925, 14, 374 on a calculator?
You can find the GCD of 153, 925, 14, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.