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 935, 840, 270, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 935, 840, 270, 428 is 1
GCD(935, 840, 270, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 935, 840, 270, 428 is 1
GCD(935, 840, 270, 428) = 1
Given Input numbers are 935, 840, 270, 428
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
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 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 935, 840, 270, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 840, 270, 428 is 1.
Therefore, GCD of numbers 935, 840, 270, 428 is 1
Given Input Data is 935, 840, 270, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 935 is 5 x 11 x 17
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 428 is 2 x 2 x 107
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(935, 840) = 157080
GCD(935, 840) = ( 935 x 840 ) / 157080
GCD(935, 840) = 785400 / 157080
GCD(935, 840) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 270) = 270
GCD(5, 270) = ( 5 x 270 ) / 270
GCD(5, 270) = 1350 / 270
GCD(5, 270) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 428) = 2140
GCD(5, 428) = ( 5 x 428 ) / 2140
GCD(5, 428) = 2140 / 2140
GCD(5, 428) = 1
GCD of 935, 840, 270, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 935, 840, 270, 428?
GCD of 935, 840, 270, 428 is 1
2. Where do I get the detailed procedure to find GCD of 935, 840, 270, 428?
You can find a detailed procedure to find GCD of 935, 840, 270, 428 on our page.
3. How to find GCD of 935, 840, 270, 428 on a calculator?
You can find the GCD of 935, 840, 270, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.