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 674, 235, 25, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 235, 25, 536 is 1
GCD(674, 235, 25, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 235, 25, 536 is 1
GCD(674, 235, 25, 536) = 1
Given Input numbers are 674, 235, 25, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 674, 235, 25, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 235, 25, 536 is 1.
Therefore, GCD of numbers 674, 235, 25, 536 is 1
Given Input Data is 674, 235, 25, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 235 is 5 x 47
Prime Factorization of 25 is 5 x 5
Prime Factorization of 536 is 2 x 2 x 2 x 67
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(674, 235) = 158390
GCD(674, 235) = ( 674 x 235 ) / 158390
GCD(674, 235) = 158390 / 158390
GCD(674, 235) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 674, 235, 25, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 235, 25, 536?
GCD of 674, 235, 25, 536 is 1
2. Where do I get the detailed procedure to find GCD of 674, 235, 25, 536?
You can find a detailed procedure to find GCD of 674, 235, 25, 536 on our page.
3. How to find GCD of 674, 235, 25, 536 on a calculator?
You can find the GCD of 674, 235, 25, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.