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 925, 364, 77, 412 i.e. 1 largest integer that divides all the numbers equally.
GCD of 925, 364, 77, 412 is 1
GCD(925, 364, 77, 412) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 925, 364, 77, 412 is 1
GCD(925, 364, 77, 412) = 1
Given Input numbers are 925, 364, 77, 412
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 925, 364, 77, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 364, 77, 412 is 1.
Therefore, GCD of numbers 925, 364, 77, 412 is 1
Given Input Data is 925, 364, 77, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 77 is 7 x 11
Prime Factorization of 412 is 2 x 2 x 103
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(925, 364) = 336700
GCD(925, 364) = ( 925 x 364 ) / 336700
GCD(925, 364) = 336700 / 336700
GCD(925, 364) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
GCD of 925, 364, 77, 412 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 925, 364, 77, 412?
GCD of 925, 364, 77, 412 is 1
2. Where do I get the detailed procedure to find GCD of 925, 364, 77, 412?
You can find a detailed procedure to find GCD of 925, 364, 77, 412 on our page.
3. How to find GCD of 925, 364, 77, 412 on a calculator?
You can find the GCD of 925, 364, 77, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.