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 926, 175, 29, 315 i.e. 1 largest integer that divides all the numbers equally.
GCD of 926, 175, 29, 315 is 1
GCD(926, 175, 29, 315) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 926, 175, 29, 315 is 1
GCD(926, 175, 29, 315) = 1
Given Input numbers are 926, 175, 29, 315
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Greatest Common Divisior
We found the divisors of 926, 175, 29, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 175, 29, 315 is 1.
Therefore, GCD of numbers 926, 175, 29, 315 is 1
Given Input Data is 926, 175, 29, 315
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 926 is 2 x 463
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 29 is 29
Prime Factorization of 315 is 3 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(926, 175) = 162050
GCD(926, 175) = ( 926 x 175 ) / 162050
GCD(926, 175) = 162050 / 162050
GCD(926, 175) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 315
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
GCD(1, 315) = 315 / 315
GCD(1, 315) = 1
GCD of 926, 175, 29, 315 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 926, 175, 29, 315?
GCD of 926, 175, 29, 315 is 1
2. Where do I get the detailed procedure to find GCD of 926, 175, 29, 315?
You can find a detailed procedure to find GCD of 926, 175, 29, 315 on our page.
3. How to find GCD of 926, 175, 29, 315 on a calculator?
You can find the GCD of 926, 175, 29, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.