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 346, 970, 677, 423 i.e. 1 largest integer that divides all the numbers equally.
GCD of 346, 970, 677, 423 is 1
GCD(346, 970, 677, 423) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 346, 970, 677, 423 is 1
GCD(346, 970, 677, 423) = 1
Given Input numbers are 346, 970, 677, 423
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Greatest Common Divisior
We found the divisors of 346, 970, 677, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 970, 677, 423 is 1.
Therefore, GCD of numbers 346, 970, 677, 423 is 1
Given Input Data is 346, 970, 677, 423
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 346 is 2 x 173
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 677 is 677
Prime Factorization of 423 is 3 x 3 x 47
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(346, 970) = 167810
GCD(346, 970) = ( 346 x 970 ) / 167810
GCD(346, 970) = 335620 / 167810
GCD(346, 970) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 677) = 1354
GCD(2, 677) = ( 2 x 677 ) / 1354
GCD(2, 677) = 1354 / 1354
GCD(2, 677) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
GCD(1, 423) = 423 / 423
GCD(1, 423) = 1
GCD of 346, 970, 677, 423 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 346, 970, 677, 423?
GCD of 346, 970, 677, 423 is 1
2. Where do I get the detailed procedure to find GCD of 346, 970, 677, 423?
You can find a detailed procedure to find GCD of 346, 970, 677, 423 on our page.
3. How to find GCD of 346, 970, 677, 423 on a calculator?
You can find the GCD of 346, 970, 677, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.