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 724, 175, 308, 740 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 175, 308, 740 is 1
GCD(724, 175, 308, 740) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 175, 308, 740 is 1
GCD(724, 175, 308, 740) = 1
Given Input numbers are 724, 175, 308, 740
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
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
Greatest Common Divisior
We found the divisors of 724, 175, 308, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 175, 308, 740 is 1.
Therefore, GCD of numbers 724, 175, 308, 740 is 1
Given Input Data is 724, 175, 308, 740
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 740 is 2 x 2 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(724, 175) = 126700
GCD(724, 175) = ( 724 x 175 ) / 126700
GCD(724, 175) = 126700 / 126700
GCD(724, 175) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
GCD(1, 308) = 308 / 308
GCD(1, 308) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
GCD(1, 740) = 740 / 740
GCD(1, 740) = 1
GCD of 724, 175, 308, 740 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 175, 308, 740?
GCD of 724, 175, 308, 740 is 1
2. Where do I get the detailed procedure to find GCD of 724, 175, 308, 740?
You can find a detailed procedure to find GCD of 724, 175, 308, 740 on our page.
3. How to find GCD of 724, 175, 308, 740 on a calculator?
You can find the GCD of 724, 175, 308, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.