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 352, 699, 24, 761 i.e. 1 largest integer that divides all the numbers equally.
GCD of 352, 699, 24, 761 is 1
GCD(352, 699, 24, 761) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 699, 24, 761 is 1
GCD(352, 699, 24, 761) = 1
Given Input numbers are 352, 699, 24, 761
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Greatest Common Divisior
We found the divisors of 352, 699, 24, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 699, 24, 761 is 1.
Therefore, GCD of numbers 352, 699, 24, 761 is 1
Given Input Data is 352, 699, 24, 761
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 699 is 3 x 233
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 761 is 761
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(352, 699) = 246048
GCD(352, 699) = ( 352 x 699 ) / 246048
GCD(352, 699) = 246048 / 246048
GCD(352, 699) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 761
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 761) = 761
GCD(1, 761) = ( 1 x 761 ) / 761
GCD(1, 761) = 761 / 761
GCD(1, 761) = 1
GCD of 352, 699, 24, 761 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 699, 24, 761?
GCD of 352, 699, 24, 761 is 1
2. Where do I get the detailed procedure to find GCD of 352, 699, 24, 761?
You can find a detailed procedure to find GCD of 352, 699, 24, 761 on our page.
3. How to find GCD of 352, 699, 24, 761 on a calculator?
You can find the GCD of 352, 699, 24, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.