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 975, 380, 94, 929 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 380, 94, 929 is 1
GCD(975, 380, 94, 929) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 380, 94, 929 is 1
GCD(975, 380, 94, 929) = 1
Given Input numbers are 975, 380, 94, 929
To find the GCD of numbers using factoring list out all the divisors of each number
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 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
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Greatest Common Divisior
We found the divisors of 975, 380, 94, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 380, 94, 929 is 1.
Therefore, GCD of numbers 975, 380, 94, 929 is 1
Given Input Data is 975, 380, 94, 929
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 94 is 2 x 47
Prime Factorization of 929 is 929
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(975, 380) = 74100
GCD(975, 380) = ( 975 x 380 ) / 74100
GCD(975, 380) = 370500 / 74100
GCD(975, 380) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 94) = 470
GCD(5, 94) = ( 5 x 94 ) / 470
GCD(5, 94) = 470 / 470
GCD(5, 94) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 929
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 929) = 929
GCD(1, 929) = ( 1 x 929 ) / 929
GCD(1, 929) = 929 / 929
GCD(1, 929) = 1
GCD of 975, 380, 94, 929 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 380, 94, 929?
GCD of 975, 380, 94, 929 is 1
2. Where do I get the detailed procedure to find GCD of 975, 380, 94, 929?
You can find a detailed procedure to find GCD of 975, 380, 94, 929 on our page.
3. How to find GCD of 975, 380, 94, 929 on a calculator?
You can find the GCD of 975, 380, 94, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.