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, 320, 751, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 320, 751, 950 is 1
GCD(46, 320, 751, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 320, 751, 950 is 1
GCD(46, 320, 751, 950) = 1
Given Input numbers are 46, 320, 751, 950
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 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 46, 320, 751, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 320, 751, 950 is 1.
Therefore, GCD of numbers 46, 320, 751, 950 is 1
Given Input Data is 46, 320, 751, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 751 is 751
Prime Factorization of 950 is 2 x 5 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, 320) = 7360
GCD(46, 320) = ( 46 x 320 ) / 7360
GCD(46, 320) = 14720 / 7360
GCD(46, 320) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 751
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 751) = 1502
GCD(2, 751) = ( 2 x 751 ) / 1502
GCD(2, 751) = 1502 / 1502
GCD(2, 751) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 1
GCD of 46, 320, 751, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 320, 751, 950?
GCD of 46, 320, 751, 950 is 1
2. Where do I get the detailed procedure to find GCD of 46, 320, 751, 950?
You can find a detailed procedure to find GCD of 46, 320, 751, 950 on our page.
3. How to find GCD of 46, 320, 751, 950 on a calculator?
You can find the GCD of 46, 320, 751, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.