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 743, 280, 205, 420 i.e. 1 largest integer that divides all the numbers equally.
GCD of 743, 280, 205, 420 is 1
GCD(743, 280, 205, 420) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 743, 280, 205, 420 is 1
GCD(743, 280, 205, 420) = 1
Given Input numbers are 743, 280, 205, 420
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
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
Greatest Common Divisior
We found the divisors of 743, 280, 205, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 280, 205, 420 is 1.
Therefore, GCD of numbers 743, 280, 205, 420 is 1
Given Input Data is 743, 280, 205, 420
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 743 is 743
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 205 is 5 x 41
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
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(743, 280) = 208040
GCD(743, 280) = ( 743 x 280 ) / 208040
GCD(743, 280) = 208040 / 208040
GCD(743, 280) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 205) = 205
GCD(1, 205) = ( 1 x 205 ) / 205
GCD(1, 205) = 205 / 205
GCD(1, 205) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
GCD(1, 420) = 420 / 420
GCD(1, 420) = 1
GCD of 743, 280, 205, 420 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 743, 280, 205, 420?
GCD of 743, 280, 205, 420 is 1
2. Where do I get the detailed procedure to find GCD of 743, 280, 205, 420?
You can find a detailed procedure to find GCD of 743, 280, 205, 420 on our page.
3. How to find GCD of 743, 280, 205, 420 on a calculator?
You can find the GCD of 743, 280, 205, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.