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 730, 148, 84, 426 i.e. 2 largest integer that divides all the numbers equally.
GCD of 730, 148, 84, 426 is 2
GCD(730, 148, 84, 426) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 148, 84, 426 is 2
GCD(730, 148, 84, 426) = 2
Given Input numbers are 730, 148, 84, 426
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Greatest Common Divisior
We found the divisors of 730, 148, 84, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 148, 84, 426 is 2.
Therefore, GCD of numbers 730, 148, 84, 426 is 2
Given Input Data is 730, 148, 84, 426
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 426 is 2 x 3 x 71
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(730, 148) = 54020
GCD(730, 148) = ( 730 x 148 ) / 54020
GCD(730, 148) = 108040 / 54020
GCD(730, 148) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 84) = 84
GCD(2, 84) = ( 2 x 84 ) / 84
GCD(2, 84) = 168 / 84
GCD(2, 84) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 426) = 426
GCD(2, 426) = ( 2 x 426 ) / 426
GCD(2, 426) = 852 / 426
GCD(2, 426) = 2
GCD of 730, 148, 84, 426 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 148, 84, 426?
GCD of 730, 148, 84, 426 is 2
2. Where do I get the detailed procedure to find GCD of 730, 148, 84, 426?
You can find a detailed procedure to find GCD of 730, 148, 84, 426 on our page.
3. How to find GCD of 730, 148, 84, 426 on a calculator?
You can find the GCD of 730, 148, 84, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.