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 46, 755, 302, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 755, 302, 760 is 1
GCD(46, 755, 302, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 755, 302, 760 is 1
GCD(46, 755, 302, 760) = 1
Given Input numbers are 46, 755, 302, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 46, 755, 302, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 755, 302, 760 is 1.
Therefore, GCD of numbers 46, 755, 302, 760 is 1
Given Input Data is 46, 755, 302, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 755 is 5 x 151
Prime Factorization of 302 is 2 x 151
Prime Factorization of 760 is 2 x 2 x 2 x 5 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(46, 755) = 34730
GCD(46, 755) = ( 46 x 755 ) / 34730
GCD(46, 755) = 34730 / 34730
GCD(46, 755) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 46, 755, 302, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 755, 302, 760?
GCD of 46, 755, 302, 760 is 1
2. Where do I get the detailed procedure to find GCD of 46, 755, 302, 760?
You can find a detailed procedure to find GCD of 46, 755, 302, 760 on our page.
3. How to find GCD of 46, 755, 302, 760 on a calculator?
You can find the GCD of 46, 755, 302, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.