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 52, 392, 735, 532 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 392, 735, 532 is 1
GCD(52, 392, 735, 532) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 392, 735, 532 is 1
GCD(52, 392, 735, 532) = 1
Given Input numbers are 52, 392, 735, 532
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
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 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Greatest Common Divisior
We found the divisors of 52, 392, 735, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 392, 735, 532 is 1.
Therefore, GCD of numbers 52, 392, 735, 532 is 1
Given Input Data is 52, 392, 735, 532
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 532 is 2 x 2 x 7 x 19
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(52, 392) = 5096
GCD(52, 392) = ( 52 x 392 ) / 5096
GCD(52, 392) = 20384 / 5096
GCD(52, 392) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 735) = 2940
GCD(4, 735) = ( 4 x 735 ) / 2940
GCD(4, 735) = 2940 / 2940
GCD(4, 735) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 532) = 532
GCD(1, 532) = ( 1 x 532 ) / 532
GCD(1, 532) = 532 / 532
GCD(1, 532) = 1
GCD of 52, 392, 735, 532 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 392, 735, 532?
GCD of 52, 392, 735, 532 is 1
2. Where do I get the detailed procedure to find GCD of 52, 392, 735, 532?
You can find a detailed procedure to find GCD of 52, 392, 735, 532 on our page.
3. How to find GCD of 52, 392, 735, 532 on a calculator?
You can find the GCD of 52, 392, 735, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.