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 103, 750, 61, 929 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 750, 61, 929 is 1
GCD(103, 750, 61, 929) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 750, 61, 929 is 1
GCD(103, 750, 61, 929) = 1
Given Input numbers are 103, 750, 61, 929
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
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 103, 750, 61, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 750, 61, 929 is 1.
Therefore, GCD of numbers 103, 750, 61, 929 is 1
Given Input Data is 103, 750, 61, 929
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 61 is 61
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(103, 750) = 77250
GCD(103, 750) = ( 103 x 750 ) / 77250
GCD(103, 750) = 77250 / 77250
GCD(103, 750) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 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 103, 750, 61, 929 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 750, 61, 929?
GCD of 103, 750, 61, 929 is 1
2. Where do I get the detailed procedure to find GCD of 103, 750, 61, 929?
You can find a detailed procedure to find GCD of 103, 750, 61, 929 on our page.
3. How to find GCD of 103, 750, 61, 929 on a calculator?
You can find the GCD of 103, 750, 61, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.