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 274, 863, 74, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 274, 863, 74, 103 is 1
GCD(274, 863, 74, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 274, 863, 74, 103 is 1
GCD(274, 863, 74, 103) = 1
Given Input numbers are 274, 863, 74, 103
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 274, 863, 74, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 863, 74, 103 is 1.
Therefore, GCD of numbers 274, 863, 74, 103 is 1
Given Input Data is 274, 863, 74, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 274 is 2 x 137
Prime Factorization of 863 is 863
Prime Factorization of 74 is 2 x 37
Prime Factorization of 103 is 103
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(274, 863) = 236462
GCD(274, 863) = ( 274 x 863 ) / 236462
GCD(274, 863) = 236462 / 236462
GCD(274, 863) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 103) = 103
GCD(1, 103) = ( 1 x 103 ) / 103
GCD(1, 103) = 103 / 103
GCD(1, 103) = 1
GCD of 274, 863, 74, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 274, 863, 74, 103?
GCD of 274, 863, 74, 103 is 1
2. Where do I get the detailed procedure to find GCD of 274, 863, 74, 103?
You can find a detailed procedure to find GCD of 274, 863, 74, 103 on our page.
3. How to find GCD of 274, 863, 74, 103 on a calculator?
You can find the GCD of 274, 863, 74, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.