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 65, 103, 950, 674 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 103, 950, 674 is 1
GCD(65, 103, 950, 674) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 103, 950, 674 is 1
GCD(65, 103, 950, 674) = 1
Given Input numbers are 65, 103, 950, 674
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Greatest Common Divisior
We found the divisors of 65, 103, 950, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 103, 950, 674 is 1.
Therefore, GCD of numbers 65, 103, 950, 674 is 1
Given Input Data is 65, 103, 950, 674
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 103 is 103
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 674 is 2 x 337
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(65, 103) = 6695
GCD(65, 103) = ( 65 x 103 ) / 6695
GCD(65, 103) = 6695 / 6695
GCD(65, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
GCD of 65, 103, 950, 674 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 103, 950, 674?
GCD of 65, 103, 950, 674 is 1
2. Where do I get the detailed procedure to find GCD of 65, 103, 950, 674?
You can find a detailed procedure to find GCD of 65, 103, 950, 674 on our page.
3. How to find GCD of 65, 103, 950, 674 on a calculator?
You can find the GCD of 65, 103, 950, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.