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 117, 914, 269, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 914, 269, 374 is 1
GCD(117, 914, 269, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 914, 269, 374 is 1
GCD(117, 914, 269, 374) = 1
Given Input numbers are 117, 914, 269, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
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 117, 914, 269, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 914, 269, 374 is 1.
Therefore, GCD of numbers 117, 914, 269, 374 is 1
Given Input Data is 117, 914, 269, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 914 is 2 x 457
Prime Factorization of 269 is 269
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(117, 914) = 106938
GCD(117, 914) = ( 117 x 914 ) / 106938
GCD(117, 914) = 106938 / 106938
GCD(117, 914) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
GCD(1, 269) = 269 / 269
GCD(1, 269) = 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 117, 914, 269, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 914, 269, 374?
GCD of 117, 914, 269, 374 is 1
2. Where do I get the detailed procedure to find GCD of 117, 914, 269, 374?
You can find a detailed procedure to find GCD of 117, 914, 269, 374 on our page.
3. How to find GCD of 117, 914, 269, 374 on a calculator?
You can find the GCD of 117, 914, 269, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.