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, 476, 65, 754 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 476, 65, 754 is 1
GCD(724, 476, 65, 754) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 476, 65, 754 is 1
GCD(724, 476, 65, 754) = 1
Given Input numbers are 724, 476, 65, 754
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 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Greatest Common Divisior
We found the divisors of 724, 476, 65, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 476, 65, 754 is 1.
Therefore, GCD of numbers 724, 476, 65, 754 is 1
Given Input Data is 724, 476, 65, 754
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 476 is 2 x 2 x 7 x 17
Prime Factorization of 65 is 5 x 13
Prime Factorization of 754 is 2 x 13 x 29
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, 476) = 86156
GCD(724, 476) = ( 724 x 476 ) / 86156
GCD(724, 476) = 344624 / 86156
GCD(724, 476) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 65) = 260
GCD(4, 65) = ( 4 x 65 ) / 260
GCD(4, 65) = 260 / 260
GCD(4, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 754) = 754
GCD(1, 754) = ( 1 x 754 ) / 754
GCD(1, 754) = 754 / 754
GCD(1, 754) = 1
GCD of 724, 476, 65, 754 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 476, 65, 754?
GCD of 724, 476, 65, 754 is 1
2. Where do I get the detailed procedure to find GCD of 724, 476, 65, 754?
You can find a detailed procedure to find GCD of 724, 476, 65, 754 on our page.
3. How to find GCD of 724, 476, 65, 754 on a calculator?
You can find the GCD of 724, 476, 65, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.