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 428, 997, 564, 840 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 997, 564, 840 is 1
GCD(428, 997, 564, 840) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 997, 564, 840 is 1
GCD(428, 997, 564, 840) = 1
Given Input numbers are 428, 997, 564, 840
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
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
Greatest Common Divisior
We found the divisors of 428, 997, 564, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 997, 564, 840 is 1.
Therefore, GCD of numbers 428, 997, 564, 840 is 1
Given Input Data is 428, 997, 564, 840
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 997 is 997
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
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(428, 997) = 426716
GCD(428, 997) = ( 428 x 997 ) / 426716
GCD(428, 997) = 426716 / 426716
GCD(428, 997) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
GCD(1, 840) = 840 / 840
GCD(1, 840) = 1
GCD of 428, 997, 564, 840 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 997, 564, 840?
GCD of 428, 997, 564, 840 is 1
2. Where do I get the detailed procedure to find GCD of 428, 997, 564, 840?
You can find a detailed procedure to find GCD of 428, 997, 564, 840 on our page.
3. How to find GCD of 428, 997, 564, 840 on a calculator?
You can find the GCD of 428, 997, 564, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.