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 50, 692, 751, 316 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 692, 751, 316 is 1
GCD(50, 692, 751, 316) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 692, 751, 316 is 1
GCD(50, 692, 751, 316) = 1
Given Input numbers are 50, 692, 751, 316
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 50, 692, 751, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 692, 751, 316 is 1.
Therefore, GCD of numbers 50, 692, 751, 316 is 1
Given Input Data is 50, 692, 751, 316
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 751 is 751
Prime Factorization of 316 is 2 x 2 x 79
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(50, 692) = 17300
GCD(50, 692) = ( 50 x 692 ) / 17300
GCD(50, 692) = 34600 / 17300
GCD(50, 692) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 751
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 751) = 1502
GCD(2, 751) = ( 2 x 751 ) / 1502
GCD(2, 751) = 1502 / 1502
GCD(2, 751) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
GCD of 50, 692, 751, 316 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 692, 751, 316?
GCD of 50, 692, 751, 316 is 1
2. Where do I get the detailed procedure to find GCD of 50, 692, 751, 316?
You can find a detailed procedure to find GCD of 50, 692, 751, 316 on our page.
3. How to find GCD of 50, 692, 751, 316 on a calculator?
You can find the GCD of 50, 692, 751, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.