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 532, 632, 34, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 532, 632, 34, 307 is 1
GCD(532, 632, 34, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 532, 632, 34, 307 is 1
GCD(532, 632, 34, 307) = 1
Given Input numbers are 532, 632, 34, 307
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 532, 632, 34, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 632, 34, 307 is 1.
Therefore, GCD of numbers 532, 632, 34, 307 is 1
Given Input Data is 532, 632, 34, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 34 is 2 x 17
Prime Factorization of 307 is 307
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(532, 632) = 84056
GCD(532, 632) = ( 532 x 632 ) / 84056
GCD(532, 632) = 336224 / 84056
GCD(532, 632) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 34) = 68
GCD(4, 34) = ( 4 x 34 ) / 68
GCD(4, 34) = 136 / 68
GCD(4, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 307) = 614
GCD(2, 307) = ( 2 x 307 ) / 614
GCD(2, 307) = 614 / 614
GCD(2, 307) = 1
GCD of 532, 632, 34, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 532, 632, 34, 307?
GCD of 532, 632, 34, 307 is 1
2. Where do I get the detailed procedure to find GCD of 532, 632, 34, 307?
You can find a detailed procedure to find GCD of 532, 632, 34, 307 on our page.
3. How to find GCD of 532, 632, 34, 307 on a calculator?
You can find the GCD of 532, 632, 34, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.