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 69, 374, 477, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 69, 374, 477, 434 is 1
GCD(69, 374, 477, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 69, 374, 477, 434 is 1
GCD(69, 374, 477, 434) = 1
Given Input numbers are 69, 374, 477, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 69, 374, 477, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 374, 477, 434 is 1.
Therefore, GCD of numbers 69, 374, 477, 434 is 1
Given Input Data is 69, 374, 477, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 69 is 3 x 23
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 434 is 2 x 7 x 31
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(69, 374) = 25806
GCD(69, 374) = ( 69 x 374 ) / 25806
GCD(69, 374) = 25806 / 25806
GCD(69, 374) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 69, 374, 477, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 69, 374, 477, 434?
GCD of 69, 374, 477, 434 is 1
2. Where do I get the detailed procedure to find GCD of 69, 374, 477, 434?
You can find a detailed procedure to find GCD of 69, 374, 477, 434 on our page.
3. How to find GCD of 69, 374, 477, 434 on a calculator?
You can find the GCD of 69, 374, 477, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.