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 362, 714, 50, 977 i.e. 1 largest integer that divides all the numbers equally.
GCD of 362, 714, 50, 977 is 1
GCD(362, 714, 50, 977) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 362, 714, 50, 977 is 1
GCD(362, 714, 50, 977) = 1
Given Input numbers are 362, 714, 50, 977
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Greatest Common Divisior
We found the divisors of 362, 714, 50, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 714, 50, 977 is 1.
Therefore, GCD of numbers 362, 714, 50, 977 is 1
Given Input Data is 362, 714, 50, 977
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 362 is 2 x 181
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 977 is 977
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(362, 714) = 129234
GCD(362, 714) = ( 362 x 714 ) / 129234
GCD(362, 714) = 258468 / 129234
GCD(362, 714) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 50) = 50
GCD(2, 50) = ( 2 x 50 ) / 50
GCD(2, 50) = 100 / 50
GCD(2, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 977) = 1954
GCD(2, 977) = ( 2 x 977 ) / 1954
GCD(2, 977) = 1954 / 1954
GCD(2, 977) = 1
GCD of 362, 714, 50, 977 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 362, 714, 50, 977?
GCD of 362, 714, 50, 977 is 1
2. Where do I get the detailed procedure to find GCD of 362, 714, 50, 977?
You can find a detailed procedure to find GCD of 362, 714, 50, 977 on our page.
3. How to find GCD of 362, 714, 50, 977 on a calculator?
You can find the GCD of 362, 714, 50, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.