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, 332, 100, 785 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 332, 100, 785 is 1
GCD(426, 332, 100, 785) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 332, 100, 785 is 1
GCD(426, 332, 100, 785) = 1
Given Input numbers are 426, 332, 100, 785
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 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Greatest Common Divisior
We found the divisors of 426, 332, 100, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 332, 100, 785 is 1.
Therefore, GCD of numbers 426, 332, 100, 785 is 1
Given Input Data is 426, 332, 100, 785
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 332 is 2 x 2 x 83
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 785 is 5 x 157
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, 332) = 70716
GCD(426, 332) = ( 426 x 332 ) / 70716
GCD(426, 332) = 141432 / 70716
GCD(426, 332) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
GCD(2, 100) = 200 / 100
GCD(2, 100) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 785) = 1570
GCD(2, 785) = ( 2 x 785 ) / 1570
GCD(2, 785) = 1570 / 1570
GCD(2, 785) = 1
GCD of 426, 332, 100, 785 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 332, 100, 785?
GCD of 426, 332, 100, 785 is 1
2. Where do I get the detailed procedure to find GCD of 426, 332, 100, 785?
You can find a detailed procedure to find GCD of 426, 332, 100, 785 on our page.
3. How to find GCD of 426, 332, 100, 785 on a calculator?
You can find the GCD of 426, 332, 100, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.