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, 840, 942, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 280, 840, 942, 397 is 1
GCD(280, 840, 942, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 280, 840, 942, 397 is 1
GCD(280, 840, 942, 397) = 1
Given Input numbers are 280, 840, 942, 397
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 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 280, 840, 942, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 840, 942, 397 is 1.
Therefore, GCD of numbers 280, 840, 942, 397 is 1
Given Input Data is 280, 840, 942, 397
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 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 397 is 397
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, 840) = 840
GCD(280, 840) = ( 280 x 840 ) / 840
GCD(280, 840) = 235200 / 840
GCD(280, 840) = 280
Step2:
Here we consider the GCD from the above i.e. 280 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(280, 942) = 131880
GCD(280, 942) = ( 280 x 942 ) / 131880
GCD(280, 942) = 263760 / 131880
GCD(280, 942) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 397) = 794
GCD(2, 397) = ( 2 x 397 ) / 794
GCD(2, 397) = 794 / 794
GCD(2, 397) = 1
GCD of 280, 840, 942, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 280, 840, 942, 397?
GCD of 280, 840, 942, 397 is 1
2. Where do I get the detailed procedure to find GCD of 280, 840, 942, 397?
You can find a detailed procedure to find GCD of 280, 840, 942, 397 on our page.
3. How to find GCD of 280, 840, 942, 397 on a calculator?
You can find the GCD of 280, 840, 942, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.