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 392, 730, 526, 375 i.e. 1 largest integer that divides all the numbers equally.
GCD of 392, 730, 526, 375 is 1
GCD(392, 730, 526, 375) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 392, 730, 526, 375 is 1
GCD(392, 730, 526, 375) = 1
Given Input numbers are 392, 730, 526, 375
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 392, 730, 526, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 730, 526, 375 is 1.
Therefore, GCD of numbers 392, 730, 526, 375 is 1
Given Input Data is 392, 730, 526, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 526 is 2 x 263
Prime Factorization of 375 is 3 x 5 x 5 x 5
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(392, 730) = 143080
GCD(392, 730) = ( 392 x 730 ) / 143080
GCD(392, 730) = 286160 / 143080
GCD(392, 730) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 526
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 526) = 526
GCD(2, 526) = ( 2 x 526 ) / 526
GCD(2, 526) = 1052 / 526
GCD(2, 526) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 375) = 750
GCD(2, 375) = ( 2 x 375 ) / 750
GCD(2, 375) = 750 / 750
GCD(2, 375) = 1
GCD of 392, 730, 526, 375 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 392, 730, 526, 375?
GCD of 392, 730, 526, 375 is 1
2. Where do I get the detailed procedure to find GCD of 392, 730, 526, 375?
You can find a detailed procedure to find GCD of 392, 730, 526, 375 on our page.
3. How to find GCD of 392, 730, 526, 375 on a calculator?
You can find the GCD of 392, 730, 526, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.