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 427, 103, 945, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 427, 103, 945, 699 is 1
GCD(427, 103, 945, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 427, 103, 945, 699 is 1
GCD(427, 103, 945, 699) = 1
Given Input numbers are 427, 103, 945, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 427, 103, 945, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 103, 945, 699 is 1.
Therefore, GCD of numbers 427, 103, 945, 699 is 1
Given Input Data is 427, 103, 945, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 427 is 7 x 61
Prime Factorization of 103 is 103
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 699 is 3 x 233
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(427, 103) = 43981
GCD(427, 103) = ( 427 x 103 ) / 43981
GCD(427, 103) = 43981 / 43981
GCD(427, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 427, 103, 945, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 427, 103, 945, 699?
GCD of 427, 103, 945, 699 is 1
2. Where do I get the detailed procedure to find GCD of 427, 103, 945, 699?
You can find a detailed procedure to find GCD of 427, 103, 945, 699 on our page.
3. How to find GCD of 427, 103, 945, 699 on a calculator?
You can find the GCD of 427, 103, 945, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.