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 434, 420, 90, 749 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 420, 90, 749 is 1
GCD(434, 420, 90, 749) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 420, 90, 749 is 1
GCD(434, 420, 90, 749) = 1
Given Input numbers are 434, 420, 90, 749
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Greatest Common Divisior
We found the divisors of 434, 420, 90, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 420, 90, 749 is 1.
Therefore, GCD of numbers 434, 420, 90, 749 is 1
Given Input Data is 434, 420, 90, 749
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 749 is 7 x 107
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(434, 420) = 13020
GCD(434, 420) = ( 434 x 420 ) / 13020
GCD(434, 420) = 182280 / 13020
GCD(434, 420) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 90) = 630
GCD(14, 90) = ( 14 x 90 ) / 630
GCD(14, 90) = 1260 / 630
GCD(14, 90) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 749) = 1498
GCD(2, 749) = ( 2 x 749 ) / 1498
GCD(2, 749) = 1498 / 1498
GCD(2, 749) = 1
GCD of 434, 420, 90, 749 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 420, 90, 749?
GCD of 434, 420, 90, 749 is 1
2. Where do I get the detailed procedure to find GCD of 434, 420, 90, 749?
You can find a detailed procedure to find GCD of 434, 420, 90, 749 on our page.
3. How to find GCD of 434, 420, 90, 749 on a calculator?
You can find the GCD of 434, 420, 90, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.