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 48, 975, 934, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 975, 934, 380 is 1
GCD(48, 975, 934, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 975, 934, 380 is 1
GCD(48, 975, 934, 380) = 1
Given Input numbers are 48, 975, 934, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 934
List of positive integer divisors of 934 that divides 934 without a remainder.
1, 2, 467, 934
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 48, 975, 934, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 975, 934, 380 is 1.
Therefore, GCD of numbers 48, 975, 934, 380 is 1
Given Input Data is 48, 975, 934, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 934 is 2 x 467
Prime Factorization of 380 is 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(48, 975) = 15600
GCD(48, 975) = ( 48 x 975 ) / 15600
GCD(48, 975) = 46800 / 15600
GCD(48, 975) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 934
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 934) = 2802
GCD(3, 934) = ( 3 x 934 ) / 2802
GCD(3, 934) = 2802 / 2802
GCD(3, 934) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 48, 975, 934, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 975, 934, 380?
GCD of 48, 975, 934, 380 is 1
2. Where do I get the detailed procedure to find GCD of 48, 975, 934, 380?
You can find a detailed procedure to find GCD of 48, 975, 934, 380 on our page.
3. How to find GCD of 48, 975, 934, 380 on a calculator?
You can find the GCD of 48, 975, 934, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.