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 348, 346, 407, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 348, 346, 407, 130 is 1
GCD(348, 346, 407, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 348, 346, 407, 130 is 1
GCD(348, 346, 407, 130) = 1
Given Input numbers are 348, 346, 407, 130
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 348, 346, 407, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 346, 407, 130 is 1.
Therefore, GCD of numbers 348, 346, 407, 130 is 1
Given Input Data is 348, 346, 407, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 346 is 2 x 173
Prime Factorization of 407 is 11 x 37
Prime Factorization of 130 is 2 x 5 x 13
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(348, 346) = 60204
GCD(348, 346) = ( 348 x 346 ) / 60204
GCD(348, 346) = 120408 / 60204
GCD(348, 346) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 407) = 814
GCD(2, 407) = ( 2 x 407 ) / 814
GCD(2, 407) = 814 / 814
GCD(2, 407) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 348, 346, 407, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 348, 346, 407, 130?
GCD of 348, 346, 407, 130 is 1
2. Where do I get the detailed procedure to find GCD of 348, 346, 407, 130?
You can find a detailed procedure to find GCD of 348, 346, 407, 130 on our page.
3. How to find GCD of 348, 346, 407, 130 on a calculator?
You can find the GCD of 348, 346, 407, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.