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 421, 378, 280, 340 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 378, 280, 340 is 1
GCD(421, 378, 280, 340) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 378, 280, 340 is 1
GCD(421, 378, 280, 340) = 1
Given Input numbers are 421, 378, 280, 340
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Greatest Common Divisior
We found the divisors of 421, 378, 280, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 378, 280, 340 is 1.
Therefore, GCD of numbers 421, 378, 280, 340 is 1
Given Input Data is 421, 378, 280, 340
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 340 is 2 x 2 x 5 x 17
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(421, 378) = 159138
GCD(421, 378) = ( 421 x 378 ) / 159138
GCD(421, 378) = 159138 / 159138
GCD(421, 378) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
GCD(1, 280) = 280 / 280
GCD(1, 280) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
GCD of 421, 378, 280, 340 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 378, 280, 340?
GCD of 421, 378, 280, 340 is 1
2. Where do I get the detailed procedure to find GCD of 421, 378, 280, 340?
You can find a detailed procedure to find GCD of 421, 378, 280, 340 on our page.
3. How to find GCD of 421, 378, 280, 340 on a calculator?
You can find the GCD of 421, 378, 280, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.