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 280, 685, 29, 634 i.e. 1 largest integer that divides all the numbers equally.
GCD of 280, 685, 29, 634 is 1
GCD(280, 685, 29, 634) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 280, 685, 29, 634 is 1
GCD(280, 685, 29, 634) = 1
Given Input numbers are 280, 685, 29, 634
To find the GCD of numbers using factoring list out all the divisors of each number
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 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 280, 685, 29, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 685, 29, 634 is 1.
Therefore, GCD of numbers 280, 685, 29, 634 is 1
Given Input Data is 280, 685, 29, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 685 is 5 x 137
Prime Factorization of 29 is 29
Prime Factorization of 634 is 2 x 317
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(280, 685) = 38360
GCD(280, 685) = ( 280 x 685 ) / 38360
GCD(280, 685) = 191800 / 38360
GCD(280, 685) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 29) = 145
GCD(5, 29) = ( 5 x 29 ) / 145
GCD(5, 29) = 145 / 145
GCD(5, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
GCD(1, 634) = 634 / 634
GCD(1, 634) = 1
GCD of 280, 685, 29, 634 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 280, 685, 29, 634?
GCD of 280, 685, 29, 634 is 1
2. Where do I get the detailed procedure to find GCD of 280, 685, 29, 634?
You can find a detailed procedure to find GCD of 280, 685, 29, 634 on our page.
3. How to find GCD of 280, 685, 29, 634 on a calculator?
You can find the GCD of 280, 685, 29, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.