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 840, 611, 74, 490 i.e. 1 largest integer that divides all the numbers equally.
GCD of 840, 611, 74, 490 is 1
GCD(840, 611, 74, 490) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 840, 611, 74, 490 is 1
GCD(840, 611, 74, 490) = 1
Given Input numbers are 840, 611, 74, 490
To find the GCD of numbers using factoring list out all the divisors of each number
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 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Greatest Common Divisior
We found the divisors of 840, 611, 74, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 611, 74, 490 is 1.
Therefore, GCD of numbers 840, 611, 74, 490 is 1
Given Input Data is 840, 611, 74, 490
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 611 is 13 x 47
Prime Factorization of 74 is 2 x 37
Prime Factorization of 490 is 2 x 5 x 7 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(840, 611) = 513240
GCD(840, 611) = ( 840 x 611 ) / 513240
GCD(840, 611) = 513240 / 513240
GCD(840, 611) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
GCD of 840, 611, 74, 490 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 840, 611, 74, 490?
GCD of 840, 611, 74, 490 is 1
2. Where do I get the detailed procedure to find GCD of 840, 611, 74, 490?
You can find a detailed procedure to find GCD of 840, 611, 74, 490 on our page.
3. How to find GCD of 840, 611, 74, 490 on a calculator?
You can find the GCD of 840, 611, 74, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.