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 101, 394, 545, 142 i.e. 1 largest integer that divides all the numbers equally.
GCD of 101, 394, 545, 142 is 1
GCD(101, 394, 545, 142) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 101, 394, 545, 142 is 1
GCD(101, 394, 545, 142) = 1
Given Input numbers are 101, 394, 545, 142
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 101, 394, 545, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 394, 545, 142 is 1.
Therefore, GCD of numbers 101, 394, 545, 142 is 1
Given Input Data is 101, 394, 545, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 101 is 101
Prime Factorization of 394 is 2 x 197
Prime Factorization of 545 is 5 x 109
Prime Factorization of 142 is 2 x 71
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(101, 394) = 39794
GCD(101, 394) = ( 101 x 394 ) / 39794
GCD(101, 394) = 39794 / 39794
GCD(101, 394) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 545) = 545
GCD(1, 545) = ( 1 x 545 ) / 545
GCD(1, 545) = 545 / 545
GCD(1, 545) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
GCD of 101, 394, 545, 142 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 101, 394, 545, 142?
GCD of 101, 394, 545, 142 is 1
2. Where do I get the detailed procedure to find GCD of 101, 394, 545, 142?
You can find a detailed procedure to find GCD of 101, 394, 545, 142 on our page.
3. How to find GCD of 101, 394, 545, 142 on a calculator?
You can find the GCD of 101, 394, 545, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.