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 480, 620, 278, 411 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 620, 278, 411 is 1
GCD(480, 620, 278, 411) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 620, 278, 411 is 1
GCD(480, 620, 278, 411) = 1
Given Input numbers are 480, 620, 278, 411
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Greatest Common Divisior
We found the divisors of 480, 620, 278, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 620, 278, 411 is 1.
Therefore, GCD of numbers 480, 620, 278, 411 is 1
Given Input Data is 480, 620, 278, 411
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 278 is 2 x 139
Prime Factorization of 411 is 3 x 137
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(480, 620) = 14880
GCD(480, 620) = ( 480 x 620 ) / 14880
GCD(480, 620) = 297600 / 14880
GCD(480, 620) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 278) = 2780
GCD(20, 278) = ( 20 x 278 ) / 2780
GCD(20, 278) = 5560 / 2780
GCD(20, 278) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 411
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 411) = 822
GCD(2, 411) = ( 2 x 411 ) / 822
GCD(2, 411) = 822 / 822
GCD(2, 411) = 1
GCD of 480, 620, 278, 411 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 620, 278, 411?
GCD of 480, 620, 278, 411 is 1
2. Where do I get the detailed procedure to find GCD of 480, 620, 278, 411?
You can find a detailed procedure to find GCD of 480, 620, 278, 411 on our page.
3. How to find GCD of 480, 620, 278, 411 on a calculator?
You can find the GCD of 480, 620, 278, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.