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, 102, 967, 213 i.e. 1 largest integer that divides all the numbers equally.
GCD of 925, 102, 967, 213 is 1
GCD(925, 102, 967, 213) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 925, 102, 967, 213 is 1
GCD(925, 102, 967, 213) = 1
Given Input numbers are 925, 102, 967, 213
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 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Greatest Common Divisior
We found the divisors of 925, 102, 967, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 102, 967, 213 is 1.
Therefore, GCD of numbers 925, 102, 967, 213 is 1
Given Input Data is 925, 102, 967, 213
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 102 is 2 x 3 x 17
Prime Factorization of 967 is 967
Prime Factorization of 213 is 3 x 71
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, 102) = 94350
GCD(925, 102) = ( 925 x 102 ) / 94350
GCD(925, 102) = 94350 / 94350
GCD(925, 102) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 967) = 967
GCD(1, 967) = ( 1 x 967 ) / 967
GCD(1, 967) = 967 / 967
GCD(1, 967) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
GCD(1, 213) = 213 / 213
GCD(1, 213) = 1
GCD of 925, 102, 967, 213 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 925, 102, 967, 213?
GCD of 925, 102, 967, 213 is 1
2. Where do I get the detailed procedure to find GCD of 925, 102, 967, 213?
You can find a detailed procedure to find GCD of 925, 102, 967, 213 on our page.
3. How to find GCD of 925, 102, 967, 213 on a calculator?
You can find the GCD of 925, 102, 967, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.