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 824, 490, 62, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 490, 62, 925 is 1
GCD(824, 490, 62, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 490, 62, 925 is 1
GCD(824, 490, 62, 925) = 1
Given Input numbers are 824, 490, 62, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
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
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 824, 490, 62, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 490, 62, 925 is 1.
Therefore, GCD of numbers 824, 490, 62, 925 is 1
Given Input Data is 824, 490, 62, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 62 is 2 x 31
Prime Factorization of 925 is 5 x 5 x 37
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(824, 490) = 201880
GCD(824, 490) = ( 824 x 490 ) / 201880
GCD(824, 490) = 403760 / 201880
GCD(824, 490) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 62) = 62
GCD(2, 62) = ( 2 x 62 ) / 62
GCD(2, 62) = 124 / 62
GCD(2, 62) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 925) = 1850
GCD(2, 925) = ( 2 x 925 ) / 1850
GCD(2, 925) = 1850 / 1850
GCD(2, 925) = 1
GCD of 824, 490, 62, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 490, 62, 925?
GCD of 824, 490, 62, 925 is 1
2. Where do I get the detailed procedure to find GCD of 824, 490, 62, 925?
You can find a detailed procedure to find GCD of 824, 490, 62, 925 on our page.
3. How to find GCD of 824, 490, 62, 925 on a calculator?
You can find the GCD of 824, 490, 62, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.