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 740, 160, 13, 274 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 160, 13, 274 is 1
GCD(740, 160, 13, 274) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 160, 13, 274 is 1
GCD(740, 160, 13, 274) = 1
Given Input numbers are 740, 160, 13, 274
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Greatest Common Divisior
We found the divisors of 740, 160, 13, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 160, 13, 274 is 1.
Therefore, GCD of numbers 740, 160, 13, 274 is 1
Given Input Data is 740, 160, 13, 274
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 13 is 13
Prime Factorization of 274 is 2 x 137
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(740, 160) = 5920
GCD(740, 160) = ( 740 x 160 ) / 5920
GCD(740, 160) = 118400 / 5920
GCD(740, 160) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 13) = 260
GCD(20, 13) = ( 20 x 13 ) / 260
GCD(20, 13) = 260 / 260
GCD(20, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
GCD of 740, 160, 13, 274 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 160, 13, 274?
GCD of 740, 160, 13, 274 is 1
2. Where do I get the detailed procedure to find GCD of 740, 160, 13, 274?
You can find a detailed procedure to find GCD of 740, 160, 13, 274 on our page.
3. How to find GCD of 740, 160, 13, 274 on a calculator?
You can find the GCD of 740, 160, 13, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.