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 426, 343, 865, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 343, 865, 132 is 1
GCD(426, 343, 865, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 343, 865, 132 is 1
GCD(426, 343, 865, 132) = 1
Given Input numbers are 426, 343, 865, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 426, 343, 865, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 343, 865, 132 is 1.
Therefore, GCD of numbers 426, 343, 865, 132 is 1
Given Input Data is 426, 343, 865, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 865 is 5 x 173
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(426, 343) = 146118
GCD(426, 343) = ( 426 x 343 ) / 146118
GCD(426, 343) = 146118 / 146118
GCD(426, 343) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 426, 343, 865, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 343, 865, 132?
GCD of 426, 343, 865, 132 is 1
2. Where do I get the detailed procedure to find GCD of 426, 343, 865, 132?
You can find a detailed procedure to find GCD of 426, 343, 865, 132 on our page.
3. How to find GCD of 426, 343, 865, 132 on a calculator?
You can find the GCD of 426, 343, 865, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.